82531313600 has 42 divisors (see below), whose sum is σ = 203078617464. Its totient is φ = 33012524800.

The previous prime is 82531313587. The next prime is 82531313611. The reversal of 82531313600 is 631313528.

It is a super-2 number, since 2×82531313600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25789436 + ... + 25792635.

Almost surely, 2^82531313600 is an apocalyptic number.

82531313600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82531313600 is an abundant number, since it is smaller than the sum of its proper divisors (120547303864).

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

82531313600 is a wasteful number, since it uses less digits than its factorization.

82531313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51582093 (or 51582078 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 82531313600 in words is "eighty-two billion, five hundred thirty-one million, three hundred thirteen thousand, six hundred".