82059904521 has 45 divisors (see below), whose sum is σ = 142628284029. Its totient is φ = 46881061416.

The previous prime is 82059904499. The next prime is 82059904523. The reversal of 82059904521 is 12540995028.

It is a happy number.

The square root of 82059904521 is 286461.

It is a perfect power (a square), and thus also a powerful number.

82059904521 is a `hidden beast` number, since 8 + 2 + 0 + 599 + 0 + 4 + 52 + 1 = 666.

It is not a de Polignac number, because 82059904521 - 2³⁵ = 47700166153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82059904523) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18044770 + ... + 18049316.

Almost surely, 2^82059904521 is an apocalyptic number.

82059904521 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82059904521 is the 286461-st square number.

82059904521 is the 143231-st centered octagonal number.

It is an amenable number.

82059904521 is a deficient number, since it is larger than the sum of its proper divisors (60568379508).

82059904521 is an frugal number, since it uses more digits than its factorization.

82059904521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 82059904521 in words is "eighty-two billion, fifty-nine million, nine hundred four thousand, five hundred twenty-one".