117978525 has 180 divisors, whose sum is σ = 269396820. Its totient is φ = 50803200.

The previous prime is 117978517. The next prime is 117978547. The reversal of 117978525 is 525879711.

117978525 is a `hidden beast` number, since 117 + 9 + 7 + 8 + 525 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18896409 + 99082116 = 4347^2 + 9954^2 .

It is not a de Polignac number, because 117978525 - 2³ = 117978517 is a prime.

It is a super-2 number, since 2×117978525² = 27837864722351250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 2877505 + ... + 2877545.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 2^117978525 is an apocalyptic number.

117978525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117978525 is an abundant number, since it is smaller than the sum of its proper divisors (151418295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117978525 is a wasteful number, since it uses less digits than its factorization.

117978525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 117978525 is about 10861.7919792270. The cubic root of 117978525 is about 490.4570565327.

The spelling of 117978525 in words is "one hundred seventeen million, nine hundred seventy-eight thousand, five hundred twenty-five".