117520353 has 12 divisors (see below), whose sum is σ = 169845780. Its totient is φ = 78303456.

The previous prime is 117520327. The next prime is 117520367. The reversal of 117520353 is 353025711.

It can be written as a sum of positive squares in 2 ways, for example, as 115412049 + 2108304 = 10743^2 + 1452^2 .

It is not a de Polignac number, because 117520353 - 2¹⁰ = 117519329 is a prime.

It is a super-2 number, since 2×117520353² = 27622066738489218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117520393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28575 + ... + 32427.

It is an arithmetic number, because the mean of its divisors is an integer number (14153815).

Almost surely, 2^117520353 is an apocalyptic number.

It is an amenable number.

117520353 is a deficient number, since it is larger than the sum of its proper divisors (52325427).

117520353 is a wasteful number, since it uses less digits than its factorization.

117520353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 117520353 is about 10840.6804675721. The cubic root of 117520353 is about 489.8213328897.

It can be divided in two parts, 1175 and 20353, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 117520353 in words is "one hundred seventeen million, five hundred twenty thousand, three hundred fifty-three".