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1313720325 = 3252192331431
BaseRepresentation
bin100111001001101…
…1100100000000101
310101112222220111100
41032103130200011
510142303022300
6334205330313
744361303261
oct11623344005
93345886440
101313720325
11614619585
12307b66999
1317c230008
14c66930a1
157a500700
hex4e4dc805

1313720325 has 144 divisors (see below), whose sum is σ = 2674114560. Its totient is φ = 613008000.

The previous prime is 1313720321. The next prime is 1313720333. The reversal of 1313720325 is 5230273131.

1313720325 is a `hidden beast` number, since 1 + 313 + 7 + 20 + 325 = 666.

It is not a de Polignac number, because 1313720325 - 22 = 1313720321 is a prime.

It is a super-2 number, since 2×13137203252 = 3451722184636211250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313720321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3047860 + ... + 3048290.

It is an arithmetic number, because the mean of its divisors is an integer number (18570240).

Almost surely, 21313720325 is an apocalyptic number.

1313720325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313720325 is an abundant number, since it is smaller than the sum of its proper divisors (1360394235).

1313720325 is a wasteful number, since it uses less digits than its factorization.

1313720325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1313720325 is about 36245.2800375442. The cubic root of 1313720325 is about 1095.2190091740.

Adding to 1313720325 its reverse (5230273131), we get a palindrome (6543993456).

The spelling of 1313720325 in words is "one billion, three hundred thirteen million, seven hundred twenty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 19 23 25 31 45 57 69 75 93 95 115 155 171 207 225 279 285 345 431 437 465 475 575 589 713 775 855 1035 1293 1311 1395 1425 1725 1767 2139 2155 2185 2325 2945 3565 3879 3933 4275 5175 5301 6417 6465 6555 6975 8189 8835 9913 10695 10775 10925 13361 13547 14725 17825 19395 19665 24567 26505 29739 32085 32325 32775 40083 40641 40945 44175 49565 53475 66805 67735 73701 89217 96975 98325 120249 121923 122835 132525 148695 160425 188347 200415 203205 204725 247825 253859 307303 334025 338675 368505 446085 565041 601245 609615 614175 743475 761577 921909 941735 1002075 1016025 1269295 1536515 1695123 1842525 2230425 2284731 2765727 2825205 3006225 3048075 3807885 4609545 4708675 5838757 6346475 7682575 8475615 11423655 13828635 14126025 17516271 19039425 23047725 29193785 42378075 52548813 57118275 69143175 87581355 145968925 262744065 437906775 1313720325