88125519004117 has 32 divisors (see below), whose sum is σ = 106365642521600. Its totient is φ = 71324355403008.

The previous prime is 88125519004069. The next prime is 88125519004157. The reversal of 88125519004117 is 71140091552188.

It is a cyclic number.

It is not a de Polignac number, because 88125519004117 - 2⁷ = 88125519003989 is a prime.

It is a super-3 number, since 3×88125519004117³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88125519004157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585562434 + ... + 1585618012.

It is an arithmetic number, because the mean of its divisors is an integer number (3323926328800).

Almost surely, 2^{88125519004117} is an apocalyptic number.

It is an amenable number.

88125519004117 is a deficient number, since it is larger than the sum of its proper divisors (18240123517483).

88125519004117 is a wasteful number, since it uses less digits than its factorization.

88125519004117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94745.

The product of its (nonzero) digits is 806400, while the sum is 52.

The spelling of 88125519004117 in words is "eighty-eight trillion, one hundred twenty-five billion, five hundred nineteen million, four thousand, one hundred seventeen".