51341311314315 has 192 divisors, whose sum is σ = 101189482647552. Its totient is φ = 23860056729600.

The previous prime is 51341311314301. The next prime is 51341311314341.

51341311314315 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 13 + 11 + 314 + 315 = 666.

51341311314315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51341311314315 - 2¹⁰ = 51341311313291 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51341311314315.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1725569479 + ... + 1725599231.

It is an arithmetic number, because the mean of its divisors is an integer number (527028555456).

Almost surely, 2^{51341311314315} is an apocalyptic number.

51341311314315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51341311314315 is a deficient number, since it is larger than the sum of its proper divisors (49848171333237).

51341311314315 is a wasteful number, since it uses less digits than its factorization.

51341311314315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31210 (or 31207 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 5134131 and 1314315, that added together give a palindrome (6448446).

The spelling of 51341311314315 in words is "fifty-one trillion, three hundred forty-one billion, three hundred eleven million, three hundred fourteen thousand, three hundred fifteen".