52309131264 has 360 divisors, whose sum is σ = 168746691960. Its totient is φ = 16052649984.

The previous prime is 52309131241. The next prime is 52309131307. The reversal of 52309131264 is 46213190325.

52309131264 is a `hidden beast` number, since 523 + 0 + 9 + 1 + 3 + 126 + 4 = 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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138018627 + ... + 138019005.

It is an arithmetic number, because the mean of its divisors is an integer number (468740811).

Almost surely, 2^52309131264 is an apocalyptic number.

52309131264 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 52309131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84373345980).

52309131264 is an abundant number, since it is smaller than the sum of its proper divisors (116437560696).

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

52309131264 is an frugal number, since it uses more digits than its factorization.

52309131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 52309131264 in words is "fifty-two billion, three hundred nine million, one hundred thirty-one thousand, two hundred sixty-four".