113767917025 has 81 divisors (see below), whose sum is σ = 171960010131. Its totient is φ = 74442355680.

The previous prime is 113767917019. The next prime is 113767917047. The reversal of 113767917025 is 520719767311.

The square root of 113767917025 is 337295.

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

It can be written as a sum of positive squares in only one way, i.e., 40956450129 + 72811466896 = 202377^2 + 269836^2 .

It is not a de Polignac number, because 113767917025 - 2⁵ = 113767916993 is a prime.

It is a super-3 number, since 3×113767917025³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 113767917025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 271522266 + ... + 271522684.

Almost surely, 2^113767917025 is an apocalyptic number.

113767917025 is the 337295-th square number.

113767917025 is the 168648-th centered octagonal number.

It is an amenable number.

113767917025 is a deficient number, since it is larger than the sum of its proper divisors (58192093106).

113767917025 is an frugal number, since it uses more digits than its factorization.

113767917025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 49.

Multiplying 113767917025 by its sum of digits (49), we get a square (5574627934225 = 2361065²).

113767917025 divided by its sum of digits (49) gives a square (2321794225 = 48185²).

The spelling of 113767917025 in words is "one hundred thirteen billion, seven hundred sixty-seven million, nine hundred seventeen thousand, twenty-five".