654080625 has 135 divisors (see below), whose sum is σ = 1340896557. Its totient is φ = 306900000.

The previous prime is 654080617. The next prime is 654080633. The reversal of 654080625 is 526080456.

The square root of 654080625 is 25575.

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

It is an interprime number because it is at equal distance from previous prime (654080617) and next prime (654080633).

It can be written as a sum of positive squares in 2 ways, for example, as 51279921 + 602800704 = 7161^2 + 24552^2 .

It is not a de Polignac number, because 654080625 - 2³ = 654080617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 654080625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 21099360 + ... + 21099390.

Almost surely, 2^654080625 is an apocalyptic number.

654080625 is the 25575-th square number.

654080625 is the 12788-th centered octagonal number.

It is an amenable number.

654080625 is an abundant number, since it is smaller than the sum of its proper divisors (686815932).

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

654080625 is a wasteful number, since it uses less digits than its factorization.

654080625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 654080625 is about 868.0480415587.

Multiplying 654080625 by its sum of digits (36), we get a square (23546902500 = 153450²).

Multiplying 654080625 by its product of nonzero digits (57600), we get a square (37675044000000 = 6138000²).

The spelling of 654080625 in words is "six hundred fifty-four million, eighty thousand, six hundred twenty-five".