516055501512 has 96 divisors (see below), whose sum is σ = 1404362793600. Its totient is φ = 171194147712.

The previous prime is 516055501501. The next prime is 516055501517. The reversal of 516055501512 is 215105550615.

516055501512 is a `hidden beast` number, since 51 + 6 + 0 + 5 + 550 + 1 + 51 + 2 = 666.

It is a super-2 number, since 2×516055501512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (516055501517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14109793 + ... + 14146319.

It is an arithmetic number, because the mean of its divisors is an integer number (14628779100).

Almost surely, 2^516055501512 is an apocalyptic number.

It is an amenable number.

516055501512 is an abundant number, since it is smaller than the sum of its proper divisors (888307292088).

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

516055501512 is a wasteful number, since it uses less digits than its factorization.

516055501512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37475 (or 37468 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 516055501512 in words is "five hundred sixteen billion, fifty-five million, five hundred one thousand, five hundred twelve".