52318761311232 has 1760 divisors, whose sum is σ = 176565560371200. Its totient is φ = 15330854043648.

The previous prime is 52318761311191. The next prime is 52318761311263. The reversal of 52318761311232 is 23211316781325.

52318761311232 is a `hidden beast` number, since 5 + 2 + 3 + 1 + 8 + 7 + 613 + 1 + 1 + 23 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 507949138893 + ... + 507949138995.

It is an arithmetic number, because the mean of its divisors is an integer number (100321341120).

Almost surely, 2^{52318761311232} is an apocalyptic number.

52318761311232 is a gapful number since it is divisible by the number (52) 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 52318761311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88282780185600).

52318761311232 is an abundant number, since it is smaller than the sum of its proper divisors (124246799059968).

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

52318761311232 is a wasteful number, since it uses less digits than its factorization.

52318761311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 52318761311232 in words is "fifty-two trillion, three hundred eighteen billion, seven hundred sixty-one million, three hundred eleven thousand, two hundred thirty-two".