350513022132315 has 96 divisors (see below), whose sum is σ = 713537065777536. Its totient is φ = 155811765473280.

The previous prime is 350513022132293. The next prime is 350513022132347. The reversal of 350513022132315 is 513231220315053.

350513022132315 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 1 + 302 + 2 + 1 + 32 + 315 = 666.

It is not a de Polignac number, because 350513022132315 - 2²¹ = 350513020035163 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 350513022132315.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10850035 + ... + 28613795.

It is an arithmetic number, because the mean of its divisors is an integer number (7432677768516).

Almost surely, 2^{350513022132315} is an apocalyptic number.

350513022132315 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

350513022132315 is an abundant number, since it is smaller than the sum of its proper divisors (363024043645221).

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

350513022132315 is a wasteful number, since it uses less digits than its factorization.

350513022132315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17765509 (or 17765506 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 350513022132315 its reverse (513231220315053), we get a palindrome (863744242447368).

The spelling of 350513022132315 in words is "three hundred fifty trillion, five hundred thirteen billion, twenty-two million, one hundred thirty-two thousand, three hundred fifteen".