315632121512715 has 256 divisors, whose sum is σ = 654580246118400. Its totient is φ = 141328100035584.

The previous prime is 315632121512713. The next prime is 315632121512731. The reversal of 315632121512715 is 517215121236513.

315632121512715 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 3 + 2 + 121 + 512 + 7 + 1 + 5 = 666.

It is not a de Polignac number, because 315632121512715 - 2¹ = 315632121512713 is a prime.

It is a super-3 number, since 3×315632121512715³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (315632121512713) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6050855224 + ... + 6050907386.

It is an arithmetic number, because the mean of its divisors is an integer number (2556954086400).

Almost surely, 2^{315632121512715} is an apocalyptic number.

315632121512715 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

315632121512715 is an abundant number, since it is smaller than the sum of its proper divisors (338948124605685).

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

315632121512715 is a wasteful number, since it uses less digits than its factorization.

315632121512715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52863 (or 52857 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 315632121512715 in words is "three hundred fifteen trillion, six hundred thirty-two billion, one hundred twenty-one million, five hundred twelve thousand, seven hundred fifteen".