117200099025 has 81 divisors (see below), whose sum is σ = 217683169041. Its totient is φ = 60274630080.

The previous prime is 117200099011. The next prime is 117200099047. The reversal of 117200099025 is 520990002711.

The square root of 117200099025 is 342345.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1610978769 + 115589120256 = 40137^2 + 339984^2 .

It is not a de Polignac number, because 117200099025 - 2¹¹ = 117200096977 is a prime.

It is a super-2 number, since 2×117200099025² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148919682 + ... + 148920468.

Almost surely, 2^117200099025 is an apocalyptic number.

117200099025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117200099025 is the 342345-th square number.

117200099025 is the 171173-rd centered octagonal number.

It is an amenable number.

117200099025 is a deficient number, since it is larger than the sum of its proper divisors (100483070016).

117200099025 is an frugal number, since it uses more digits than its factorization.

117200099025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Multiplying 117200099025 by its sum of digits (36), we get a square (4219203564900 = 2054070²).

The spelling of 117200099025 in words is "one hundred seventeen billion, two hundred million, ninety-nine thousand, twenty-five".