117812513 has 12 divisors (see below), whose sum is σ = 147590100. Its totient is φ = 93213792.

The previous prime is 117812507. The next prime is 117812573. The reversal of 117812513 is 315218711.

It can be written as a sum of positive squares in 2 ways, for example, as 79780624 + 38031889 = 8932^2 + 6167^2 .

It is not a de Polignac number, because 117812513 - 2⁸ = 117812257 is a prime.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (117812573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91838 + ... + 93111.

It is an arithmetic number, because the mean of its divisors is an integer number (12299175).

Almost surely, 2^117812513 is an apocalyptic number.

117812513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

117812513 is a deficient number, since it is larger than the sum of its proper divisors (29777587).

117812513 is a wasteful number, since it uses less digits than its factorization.

117812513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184976 (or 184969 counting only the distinct ones).

The product of its digits is 1680, while the sum is 29.

The square root of 117812513 is about 10854.1472718957. The cubic root of 117812513 is about 490.2269017163.

The spelling of 117812513 in words is "one hundred seventeen million, eight hundred twelve thousand, five hundred thirteen".