152564314054516 has 72 divisors (see below), whose sum is σ = 337779483400296. Its totient is φ = 59757537772800.

The previous prime is 152564314054483. The next prime is 152564314054553. The reversal of 152564314054516 is 615450413465251.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10970973564516 + 141593340490000 = 3312246^2 + 11899300^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296159011 + ... + 296673706.

It is an arithmetic number, because the mean of its divisors is an integer number (4691381713893).

Almost surely, 2^{152564314054516} is an apocalyptic number.

It is an amenable number.

152564314054516 is an abundant number, since it is smaller than the sum of its proper divisors (185215169345780).

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

152564314054516 is a wasteful number, since it uses less digits than its factorization.

152564314054516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592832849 (or 592832840 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 52.

The spelling of 152564314054516 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, three hundred fourteen million, fifty-four thousand, five hundred sixteen".