42512112513 has 24 divisors (see below), whose sum is σ = 67742886120. Its totient is φ = 25523216640.

The previous prime is 42512112463. The next prime is 42512112521. The reversal of 42512112513 is 31521121524.

It is a happy number.

42512112513 is a `hidden beast` number, since 4 + 25 + 12 + 112 + 513 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 827540289 + 41684572224 = 28767^2 + 204168^2 .

It is not a de Polignac number, because 42512112513 - 2¹³ = 42512104321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42512111513) 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, 4426318 + ... + 4435911.

It is an arithmetic number, because the mean of its divisors is an integer number (2822620255).

Almost surely, 2^42512112513 is an apocalyptic number.

It is an amenable number.

42512112513 is a deficient number, since it is larger than the sum of its proper divisors (25230773607).

42512112513 is a wasteful number, since it uses less digits than its factorization.

42512112513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862289 (or 8862286 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The spelling of 42512112513 in words is "forty-two billion, five hundred twelve million, one hundred twelve thousand, five hundred thirteen".