65574405625 has 15 divisors (see below), whose sum is σ = 81949777833. Its totient is φ = 52454403000.

The previous prime is 65574405613. The next prime is 65574405653. The reversal of 65574405625 is 52650447556.

The square root of 65574405625 is 256075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5141033401 + 60433372224 = 71701^2 + 245832^2 .

It is a de Polignac number, because none of the positive numbers 2^k-65574405625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6396754 + ... + 6406996.

Almost surely, 2^65574405625 is an apocalyptic number.

65574405625 is the 256075-th square number.

65574405625 is the 128038-th centered octagonal number.

It is an amenable number.

65574405625 is a deficient number, since it is larger than the sum of its proper divisors (16375372208).

65574405625 is an frugal number, since it uses more digits than its factorization.

65574405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 49.

Multiplying 65574405625 by its sum of digits (49), we get a square (3213145875625 = 1792525²).

The spelling of 65574405625 in words is "sixty-five billion, five hundred seventy-four million, four hundred five thousand, six hundred twenty-five".