152564302536405 has 16 divisors (see below), whose sum is σ = 256950404272320. Its totient is φ = 77085121281408.

The previous prime is 152564302536343. The next prime is 152564302536421. The reversal of 152564302536405 is 504635203465251.

152564302536405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152564302536405 - 2³³ = 152555712601813 is a prime.

It is a super-3 number, since 3×152564302536405³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267656670832 + ... + 267656671401.

It is an arithmetic number, because the mean of its divisors is an integer number (16059400267020).

Almost surely, 2^{152564302536405} is an apocalyptic number.

152564302536405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152564302536405 is a deficient number, since it is larger than the sum of its proper divisors (104386101735915).

152564302536405 is a wasteful number, since it uses less digits than its factorization.

152564302536405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535313342260.

The product of its (nonzero) digits is 12960000, while the sum is 51.

The spelling of 152564302536405 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, three hundred two million, five hundred thirty-six thousand, four hundred five".