82457994025 has 81 divisors (see below), whose sum is σ = 118006943383. Its totient is φ = 57109386400.

The previous prime is 82457994011. The next prime is 82457994079. The reversal of 82457994025 is 52049975428.

It is a happy number.

The square root of 82457994025 is 287155.

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

It can be written as a sum of positive squares in only one way, i.e., 29684877849 + 52773116176 = 172293^2 + 229724^2 .

It is not a de Polignac number, because 82457994025 - 2²³ = 82449605417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 363250962 + ... + 363251188.

Almost surely, 2^82457994025 is an apocalyptic number.

82457994025 is the 287155-th square number.

82457994025 is the 143578-th centered octagonal number.

It is an amenable number.

82457994025 is a deficient number, since it is larger than the sum of its proper divisors (35548949358).

82457994025 is a wasteful number, since it uses less digits than its factorization.

82457994025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 82457994025 in words is "eighty-two billion, four hundred fifty-seven million, nine hundred ninety-four thousand, twenty-five".