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1325351500 = 225311733301
BaseRepresentation
bin100111011111111…
…0100001001001100
310102100212211110121
41032333310021030
510203242222000
6335302514324
744562205354
oct11677641114
93370784417
101325351500
11620143220
1230ba359a4
13181773175
14c803db64
157b54bb1a
hex4eff424c

1325351500 has 96 divisors (see below), whose sum is σ = 3201936192. Its totient is φ = 475200000.

The previous prime is 1325351491. The next prime is 1325351509. The reversal of 1325351500 is 51535231.

It is an interprime number because it is at equal distance from previous prime (1325351491) and next prime (1325351509).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1325351509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399850 + ... + 403150.

It is an arithmetic number, because the mean of its divisors is an integer number (33353502).

Almost surely, 21325351500 is an apocalyptic number.

1325351500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325351500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600968096).

1325351500 is an abundant number, since it is smaller than the sum of its proper divisors (1876584692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1325351500 is a wasteful number, since it uses less digits than its factorization.

1325351500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 1325351500 is about 36405.3773500564. The cubic root of 1325351500 is about 1098.4417329853.

Adding to 1325351500 its reverse (51535231), we get a palindrome (1376886731).

The spelling of 1325351500 in words is "one billion, three hundred twenty-five million, three hundred fifty-one thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 125 146 220 250 275 292 365 500 550 730 803 1100 1375 1460 1606 1825 2750 3212 3301 3650 4015 5500 6602 7300 8030 9125 13204 16060 16505 18250 20075 33010 36311 36500 40150 66020 72622 80300 82525 100375 145244 165050 181555 200750 240973 330100 363110 401500 412625 481946 726220 825250 907775 963892 1204865 1650500 1815550 2409730 2650703 3631100 4538875 4819460 5301406 6024325 9077750 10602812 12048650 13253515 18155500 24097300 26507030 30121625 53014060 60243250 66267575 120486500 132535150 265070300 331337875 662675750 1325351500