64513460025 has 243 divisors, whose sum is σ = 140149355853. Its totient is φ = 28284883200.

The previous prime is 64513459991. The next prime is 64513460051. The reversal of 64513460025 is 52006431546.

The square root of 64513460025 is 253995.

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

64513460025 is a `hidden beast` number, since 6 + 45 + 1 + 3 + 4 + 600 + 2 + 5 = 666.

64513460025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27154755369 + 37358704656 = 164787^2 + 193284^2 .

It is not a de Polignac number, because 64513460025 - 2⁹ = 64513459513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1093448446 + ... + 1093448504.

Almost surely, 2^64513460025 is an apocalyptic number.

64513460025 is the 253995-th square number.

64513460025 is the 126998-th centered octagonal number.

It is an amenable number.

64513460025 is an abundant number, since it is smaller than the sum of its proper divisors (75635895828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64513460025 is a wasteful number, since it uses less digits than its factorization.

64513460025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 64513460025 by its sum of digits (36), we get a square (2322484560900 = 1523970²).

The spelling of 64513460025 in words is "sixty-four billion, five hundred thirteen million, four hundred sixty thousand, twenty-five".