117017721753 has 16 divisors (see below), whose sum is σ = 156340294656. Its totient is φ = 77853646080.

The previous prime is 117017721703. The next prime is 117017721811. The reversal of 117017721753 is 357127710711.

It is not a de Polignac number, because 117017721753 - 2⁸ = 117017721497 is a prime.

It is a super-3 number, since 3×117017721753³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (117017721703) 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 15 ways as a sum of consecutive naturals, for example, 2973000 + ... + 3012102.

It is an arithmetic number, because the mean of its divisors is an integer number (9771268416).

Almost surely, 2^117017721753 is an apocalyptic number.

It is an amenable number.

117017721753 is a deficient number, since it is larger than the sum of its proper divisors (39322572903).

117017721753 is a wasteful number, since it uses less digits than its factorization.

117017721753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41104.

The product of its (nonzero) digits is 72030, while the sum is 42.

The spelling of 117017721753 in words is "one hundred seventeen billion, seventeen million, seven hundred twenty-one thousand, seven hundred fifty-three".