520642501632 has 528 divisors, whose sum is σ = 1784224153600. Its totient is φ = 149448499200.

The previous prime is 520642501601. The next prime is 520642501649. The reversal of 520642501632 is 236105246025.

520642501632 is a `hidden beast` number, since 5 + 2 + 0 + 642 + 5 + 0 + 1 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×520642501632² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 63558657 + ... + 63566847.

Almost surely, 2^520642501632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520642501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892112076800).

520642501632 is an abundant number, since it is smaller than the sum of its proper divisors (1263581651968).

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

520642501632 is a wasteful number, since it uses less digits than its factorization.

520642501632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8261 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 520642501632 its reverse (236105246025), we get a palindrome (756747747657).

The spelling of 520642501632 in words is "five hundred twenty billion, six hundred forty-two million, five hundred one thousand, six hundred thirty-two".