51315400451315 has 192 divisors, whose sum is σ = 85830828999552. Its totient is φ = 28941347635200.

The previous prime is 51315400451297. The next prime is 51315400451317.

51315400451315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51315400451315 - 2¹⁰ = 51315400450291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51315400451317) 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, 1880980475 + ... + 1881007755.

It is an arithmetic number, because the mean of its divisors is an integer number (447035567706).

Almost surely, 2^{51315400451315} is an apocalyptic number.

51315400451315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51315400451315 is a deficient number, since it is larger than the sum of its proper divisors (34515428548237).

51315400451315 is a wasteful number, since it uses less digits than its factorization.

51315400451315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28390 (or 28383 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

It can be divided in two parts, 51315400 and 451315, that added together give a palindrome (51766715).

The spelling of 51315400451315 in words is "fifty-one trillion, three hundred fifteen billion, four hundred million, four hundred fifty-one thousand, three hundred fifteen".