52577385564536 has 96 divisors (see below), whose sum is σ = 114947833050000. Its totient is φ = 22480102600704.

The previous prime is 52577385564497. The next prime is 52577385564617. The reversal of 52577385564536 is 63546558377525.

It is a happy number.

52577385564536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (71) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52577385564536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1927097951 + ... + 1927125233.

Almost surely, 2^{52577385564536} is an apocalyptic number.

52577385564536 is a gapful number since it is divisible by the number (56) 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 52577385564536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57473916525000).

52577385564536 is an abundant number, since it is smaller than the sum of its proper divisors (62370447485464).

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

52577385564536 is a wasteful number, since it uses less digits than its factorization.

52577385564536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38701 (or 38690 counting only the distinct ones).

The product of its digits is 3175200000, while the sum is 71.

The spelling of 52577385564536 in words is "fifty-two trillion, five hundred seventy-seven billion, three hundred eighty-five million, five hundred sixty-four thousand, five hundred thirty-six".