82900805625 has 135 divisors (see below), whose sum is σ = 164946480699. Its totient is φ = 40079160000.

The previous prime is 82900805599. The next prime is 82900805627. The reversal of 82900805625 is 52650800928.

The square root of 82900805625 is 287925.

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

82900805625 is a `hidden beast` number, since 8 + 2 + 9 + 0 + 0 + 80 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 44786833641 + 38113971984 = 211629^2 + 195228^2 .

It is not a de Polignac number, because 82900805625 - 2⁷ = 82900805497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82900805627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 237537951 + ... + 237538299.

Almost surely, 2^82900805625 is an apocalyptic number.

82900805625 is the 287925-th square number.

82900805625 is the 143963-rd centered octagonal number.

It is an amenable number.

82900805625 is a deficient number, since it is larger than the sum of its proper divisors (82045675074).

82900805625 is an equidigital number, since it uses as much as digits as its factorization.

82900805625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 82900805625 in words is "eighty-two billion, nine hundred million, eight hundred five thousand, six hundred twenty-five".