42513013413 has 24 divisors (see below), whose sum is σ = 66141162360. Its totient is φ = 26157974400.

The previous prime is 42513013393. The next prime is 42513013429. The reversal of 42513013413 is 31431031524.

It is a happy number.

42513013413 is a `hidden beast` number, since 4 + 2 + 513 + 0 + 134 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135908964 + 42377104449 = 11658^2 + 205857^2 .

It is not a de Polignac number, because 42513013413 - 2²⁰ = 42511964837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42513113413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901423 + ... + 947411.

It is an arithmetic number, because the mean of its divisors is an integer number (2755881765).

Almost surely, 2^42513013413 is an apocalyptic number.

It is an amenable number.

42513013413 is a deficient number, since it is larger than the sum of its proper divisors (23628148947).

42513013413 is a wasteful number, since it uses less digits than its factorization.

42513013413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53909 (or 53906 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 42513013413 its reverse (31431031524), we get a palindrome (73944044937).

The spelling of 42513013413 in words is "forty-two billion, five hundred thirteen million, thirteen thousand, four hundred thirteen".