651757509225 has 81 divisors (see below), whose sum is σ = 1180729445623. Its totient is φ = 343670766240.

The previous prime is 651757509199. The next prime is 651757509233. The reversal of 651757509225 is 522905757156.

The square root of 651757509225 is 807315.

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

651757509225 is a `hidden beast` number, since 6 + 517 + 57 + 50 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 234632703321 + 417124805904 = 484389^2 + 645852^2 .

It is not a de Polignac number, because 651757509225 - 2²¹ = 651755412073 is a prime.

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, 1295740324 + ... + 1295740826.

Almost surely, 2^651757509225 is an apocalyptic number.

651757509225 is the 807315-th square number.

651757509225 is the 403658-th centered octagonal number.

It is an amenable number.

651757509225 is a deficient number, since it is larger than the sum of its proper divisors (528971936398).

651757509225 is an equidigital number, since it uses as much as digits as its factorization.

651757509225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 651757509225 in words is "six hundred fifty-one billion, seven hundred fifty-seven million, five hundred nine thousand, two hundred twenty-five".