505612425564 has 48 divisors (see below), whose sum is σ = 1353132426240. Its totient is φ = 163100781360.

The previous prime is 505612425557. The next prime is 505612425587. The reversal of 505612425564 is 465524216505.

505612425564 is a `hidden beast` number, since 5 + 0 + 5 + 61 + 2 + 4 + 25 + 564 = 666.

It is a super-2 number, since 2×505612425564² (a number of 24 digits) contains 22 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, 75506274 + ... + 75512969.

It is an arithmetic number, because the mean of its divisors is an integer number (28190258880).

Almost surely, 2^505612425564 is an apocalyptic number.

505612425564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

505612425564 is an abundant number, since it is smaller than the sum of its proper divisors (847520000676).

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

505612425564 is a wasteful number, since it uses less digits than its factorization.

505612425564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151019287 (or 151019279 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 505612425564 in words is "five hundred five billion, six hundred twelve million, four hundred twenty-five thousand, five hundred sixty-four".