51105113304315 has 64 divisors (see below), whose sum is σ = 96283611740160. Its totient is φ = 22657832663040.

The previous prime is 51105113304269. The next prime is 51105113304317. The reversal of 51105113304315 is 51340331150115.

It is not a de Polignac number, because 51105113304315 - 2³⁵ = 51070753565947 is a prime.

It is a super-2 number, since 2×51105113304315² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51105113304317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19940430 + ... + 22356899.

It is an arithmetic number, because the mean of its divisors is an integer number (1504431433440).

Almost surely, 2^{51105113304315} is an apocalyptic number.

51105113304315 is a deficient number, since it is larger than the sum of its proper divisors (45178498435845).

51105113304315 is a wasteful number, since it uses less digits than its factorization.

51105113304315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42297692.

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 51105113304315 in words is "fifty-one trillion, one hundred five billion, one hundred thirteen million, three hundred four thousand, three hundred fifteen".