51321244212315 has 384 divisors, whose sum is σ = 115245549619200. Its totient is φ = 20510807040000.

The previous prime is 51321244212289. The next prime is 51321244212317.

51321244212315 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 124 + 4 + 212 + 315 = 666.

51321244212315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51321244212315 - 2¹⁰ = 51321244211291 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51321244212315.

It is not an unprimeable number, because it can be changed into a prime (51321244212317) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3285813576 + ... + 3285829194.

It is an arithmetic number, because the mean of its divisors is an integer number (300118618800).

Almost surely, 2^{51321244212315} is an apocalyptic number.

51321244212315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51321244212315 is an abundant number, since it is smaller than the sum of its proper divisors (63924305406885).

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

51321244212315 is a wasteful number, since it uses less digits than its factorization.

51321244212315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16019 (or 16016 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 5132124 and 4212315, that added together give a palindrome (9344439).

The spelling of 51321244212315 in words is "fifty-one trillion, three hundred twenty-one billion, two hundred forty-four million, two hundred twelve thousand, three hundred fifteen".