642125575413 has 32 divisors (see below), whose sum is σ = 1089719377920. Its totient is φ = 366077510640.

The previous prime is 642125575391. The next prime is 642125575433. The reversal of 642125575413 is 314575521246.

642125575413 is a `hidden beast` number, since 6 + 42 + 1 + 2 + 557 + 54 + 1 + 3 = 666.

642125575413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642125575413 - 2¹³ = 642125567221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642125575433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3859945 + ... + 4022862.

It is an arithmetic number, because the mean of its divisors is an integer number (34053730560).

Almost surely, 2^642125575413 is an apocalyptic number.

642125575413 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

642125575413 is a deficient number, since it is larger than the sum of its proper divisors (447593802507).

642125575413 is a wasteful number, since it uses less digits than its factorization.

642125575413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7883254 (or 7883248 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 642125575413 in words is "six hundred forty-two billion, one hundred twenty-five million, five hundred seventy-five thousand, four hundred thirteen".