64137433702225 has 27 divisors (see below), whose sum is σ = 86119435394643. Its totient is φ = 47362643552640.

The previous prime is 64137433702213. The next prime is 64137433702229. The reversal of 64137433702225 is 52220733473146.

The square root of 64137433702225 is 8008585.

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

It can be written as a sum of positive squares in 13 ways, for example, as 58165744462609 + 5971689239616 = 7626647^2 + 2443704^2 .

It is not a de Polignac number, because 64137433702225 - 2⁹ = 64137433701713 is a prime.

It is a super-2 number, since 2×64137433702225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64137433702229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 520496421 + ... + 520619629.

Almost surely, 2^{64137433702225} is an apocalyptic number.

64137433702225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

64137433702225 is the 8008585-th square number.

64137433702225 is the 4004293-rd centered octagonal number.

It is an amenable number.

64137433702225 is a deficient number, since it is larger than the sum of its proper divisors (21982001692418).

64137433702225 is an frugal number, since it uses more digits than its factorization.

64137433702225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246454 (or 123227 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 64137433702225 in words is "sixty-four trillion, one hundred thirty-seven billion, four hundred thirty-three million, seven hundred two thousand, two hundred twenty-five".