51135211253115 has 24 divisors (see below), whose sum is σ = 96692035825008. Its totient is φ = 24792829698240.

The previous prime is 51135211253069. The next prime is 51135211253129.

51135211253115 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 5 + 2 + 112 + 531 + 1 + 5 = 666.

51135211253115 is nontrivially palindromic in base 10.

51135211253115 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51135211253115 - 2⁶ = 51135211253051 is a prime.

It is a super-2 number, since 2×51135211253115² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51135211253115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51651728044 + ... + 51651729033.

It is an arithmetic number, because the mean of its divisors is an integer number (4028834826042).

Almost surely, 2^{51135211253115} is an apocalyptic number.

51135211253115 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51135211253115 is a deficient number, since it is larger than the sum of its proper divisors (45556824571893).

51135211253115 is a wasteful number, since it uses less digits than its factorization.

51135211253115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103303457099 (or 103303457096 counting only the distinct ones).

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

It can be divided in two parts, 5113521 and 1253115, that added together give a palindrome (6366636).

The spelling of 51135211253115 in words is "fifty-one trillion, one hundred thirty-five billion, two hundred eleven million, two hundred fifty-three thousand, one hundred fifteen".