82624628025 has 27 divisors (see below), whose sum is σ = 147997612399. Its totient is φ = 44064168720.

The previous prime is 82624628003. The next prime is 82624628057. The reversal of 82624628025 is 52082642628.

The square root of 82624628025 is 287445.

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., 29744866089 + 52879761936 = 172467^2 + 229956^2 .

It is not a de Polignac number, because 82624628025 - 2⁹ = 82624627513 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4302094 + ... + 4321256.

Almost surely, 2^82624628025 is an apocalyptic number.

82624628025 is the 287445-th square number.

82624628025 is the 143723-rd centered octagonal number.

It is an amenable number.

82624628025 is a deficient number, since it is larger than the sum of its proper divisors (65372984374).

82624628025 is an frugal number, since it uses more digits than its factorization.

82624628025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38342 (or 19171 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

It can be divided in two parts, 82624 and 628025, that added together give a square (710649 = 843²).

The spelling of 82624628025 in words is "eighty-two billion, six hundred twenty-four million, six hundred twenty-eight thousand, twenty-five".