13425120564264 has 72 divisors (see below), whose sum is σ = 38374089498810. Its totient is φ = 4239511748928.

The previous prime is 13425120564263. The next prime is 13425120564313. The reversal of 13425120564264 is 46246502152431.

It is a happy number.

13425120564264 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 5 + 1 + 20 + 564 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7581442847364 + 5843677716900 = 2753442^2 + 2417370^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13425120564263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 258228867 + ... + 258280850.

Almost surely, 2^{13425120564264} is an apocalyptic number.

It is an amenable number.

13425120564264 is an abundant number, since it is smaller than the sum of its proper divisors (24948968934546).

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

13425120564264 is a wasteful number, since it uses less digits than its factorization.

13425120564264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516509767 (or 516509741 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 13425120564264 in words is "thirteen trillion, four hundred twenty-five billion, one hundred twenty million, five hundred sixty-four thousand, two hundred sixty-four".