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5325213564 = 22331113732719
BaseRepresentation
bin1001111010110100…
…00100111101111100
3111202010022212201000
410331122010331330
541401223313224
62240225450300
7245651365656
oct47532047574
914663285630
105325213564
112292a42850
1210474a0990
1366b346b58
143873596d6
152127960c9
hex13d684f7c

5325213564 has 96 divisors (see below), whose sum is σ = 15171609600. Its totient is φ = 1601873280.

The previous prime is 5325213559. The next prime is 5325213589. The reversal of 5325213564 is 4653125235.

5325213564 is a `hidden beast` number, since 5 + 32 + 52 + 13 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146397 + ... + 179115.

It is an arithmetic number, because the mean of its divisors is an integer number (158037600).

Almost surely, 25325213564 is an apocalyptic number.

5325213564 is a gapful number since it is divisible by the number (54) 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 5325213564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585804800).

5325213564 is an abundant number, since it is smaller than the sum of its proper divisors (9846396036).

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

5325213564 is a wasteful number, since it uses less digits than its factorization.

5325213564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32880 (or 32872 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 5325213564 is about 72974.0608983768. The cubic root of 5325213564 is about 1746.2738201415.

Adding to 5325213564 its reverse (4653125235), we get a palindrome (9978338799).

The spelling of 5325213564 in words is "five billion, three hundred twenty-five million, two hundred thirteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 137 198 274 297 396 411 548 594 822 1188 1233 1507 1644 2466 3014 3699 4521 4932 6028 7398 9042 13563 14796 18084 27126 32719 40689 54252 65438 81378 98157 130876 162756 196314 294471 359909 392628 588942 719818 883413 1079727 1177884 1439636 1766826 2159454 3239181 3533652 4318908 4482503 6478362 8965006 9717543 12956724 13447509 17930012 19435086 26895018 38870172 40342527 49307533 53790036 80685054 98615066 121027581 147922599 161370108 197230132 242055162 295845198 443767797 484110324 591690396 887535594 1331303391 1775071188 2662606782 5325213564