51512133121515 has 192 divisors, whose sum is σ = 105420390147072. Its totient is φ = 23013859968000.

The previous prime is 51512133121513. The next prime is 51512133121549.

51512133121515 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 2 + 13 + 3 + 121 + 515 = 666.

51512133121515 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51512133121515 - 2¹ = 51512133121513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51512133121515.

It is not an unprimeable number, because it can be changed into a prime (51512133121513) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41940372 + ... + 43151118.

It is an arithmetic number, because the mean of its divisors is an integer number (549064532016).

Almost surely, 2^{51512133121515} is an apocalyptic number.

51512133121515 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51512133121515 is an abundant number, since it is smaller than the sum of its proper divisors (53908257025557).

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

51512133121515 is a wasteful number, since it uses less digits than its factorization.

51512133121515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210930 (or 1210927 counting only the distinct ones).

The product of its digits is 22500, while the sum is 36.

It can be divided in two parts, 5151213 and 3121515, that added together give a palindrome (8272728).

The spelling of 51512133121515 in words is "fifty-one trillion, five hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, five hundred fifteen".