512616524644242 has 80 divisors (see below), whose sum is σ = 1150508534883840. Its totient is φ = 170594521867008.

The previous prime is 512616524644129. The next prime is 512616524644247. The reversal of 512616524644242 is 242446425616215.

512616524644242 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 16 + 524 + 64 + 4 + 2 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (512616524644247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273423643 + ... + 275292065.

It is an arithmetic number, because the mean of its divisors is an integer number (14381356686048).

Almost surely, 2^{512616524644242} is an apocalyptic number.

512616524644242 is an abundant number, since it is smaller than the sum of its proper divisors (637892010239598).

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

512616524644242 is a wasteful number, since it uses less digits than its factorization.

512616524644242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871189 (or 1871180 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 512616524644242 in words is "five hundred twelve trillion, six hundred sixteen billion, five hundred twenty-four million, six hundred forty-four thousand, two hundred forty-two".