117961337025 has 81 divisors (see below), whose sum is σ = 245852020323. Its totient is φ = 53908696800.

The previous prime is 117961337003. The next prime is 117961337027. The reversal of 117961337025 is 520733169711.

The square root of 117961337025 is 343455.

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

117961337025 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 613 + 3 + 7 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42466081329 + 75495255696 = 206073^2 + 274764^2 .

It is not a de Polignac number, because 117961337025 - 2⁷ = 117961336897 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (117961337027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36061140 + ... + 36064410.

Almost surely, 2^117961337025 is an apocalyptic number.

117961337025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117961337025 is the 343455-th square number.

117961337025 is the 171728-th centered octagonal number.

It is an amenable number.

117961337025 is an abundant number, since it is smaller than the sum of its proper divisors (127890683298).

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

117961337025 is an frugal number, since it uses more digits than its factorization.

117961337025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 117961337025 in words is "one hundred seventeen billion, nine hundred sixty-one million, three hundred thirty-seven thousand, twenty-five".