64961265625 has 21 divisors (see below), whose sum is σ = 81240385891. Its totient is φ = 51943525000.

The previous prime is 64961265587. The next prime is 64961265653. The reversal of 64961265625 is 52656216946.

The square root of 64961265625 is 254875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 56912304969 + 8048960656 = 238563^2 + 89716^2 .

It is not a de Polignac number, because 64961265625 - 2⁷ = 64961265497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 31858356 + ... + 31860394.

Almost surely, 2^64961265625 is an apocalyptic number.

64961265625 is the 254875-th square number.

64961265625 is the 127438-th centered octagonal number.

It is an amenable number.

64961265625 is a deficient number, since it is larger than the sum of its proper divisors (16279120266).

64961265625 is an frugal number, since it uses more digits than its factorization.

64961265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 2044 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 52.

The spelling of 64961265625 in words is "sixty-four billion, nine hundred sixty-one million, two hundred sixty-five thousand, six hundred twenty-five".