64810147725625 has 45 divisors (see below), whose sum is σ = 82351777076283. Its totient is φ = 50988488460000.

The previous prime is 64810147725593. The next prime is 64810147725637. The reversal of 64810147725625 is 52652774101846.

It is a happy number.

The square root of 64810147725625 is 8050475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 64131955947049 + 678191778576 = 8008243^2 + 823524^2 .

It is not a de Polignac number, because 64810147725625 - 2⁵ = 64810147725593 is a prime.

It is a super-3 number, since 3×64810147725625³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64810147725625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12276971736 + ... + 12276977014.

Almost surely, 2^{64810147725625} is an apocalyptic number.

64810147725625 is the 8050475-th square number.

64810147725625 is the 4025238-th centered octagonal number.

It is an amenable number.

64810147725625 is a deficient number, since it is larger than the sum of its proper divisors (17541629350658).

64810147725625 is an frugal number, since it uses more digits than its factorization.

64810147725625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 64810147725625 in words is "sixty-four trillion, eight hundred ten billion, one hundred forty-seven million, seven hundred twenty-five thousand, six hundred twenty-five".