252315351497160 has 192 divisors, whose sum is σ = 941928522163200. Its totient is φ = 57379328552448.

The previous prime is 252315351497123. The next prime is 252315351497173. The reversal of 252315351497160 is 61794153513252.

252315351497160 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 1 + 53 + 514 + 9 + 71 + 6 + 0 = 666.

It is a super-2 number, since 2×252315351497160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252315351497097 and 252315351497106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253628280 + ... + 254621159.

It is an arithmetic number, because the mean of its divisors is an integer number (4905877719600).

Almost surely, 2^{252315351497160} is an apocalyptic number.

252315351497160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252315351497160 is an abundant number, since it is smaller than the sum of its proper divisors (689613170666040).

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

252315351497160 is a wasteful number, since it uses less digits than its factorization.

252315351497160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508249660 (or 508249653 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 252315351497160 in words is "two hundred fifty-two trillion, three hundred fifteen billion, three hundred fifty-one million, four hundred ninety-seven thousand, one hundred sixty".