115583000625 has 75 divisors (see below), whose sum is σ = 215900103133. Its totient is φ = 61603470000.

The previous prime is 115583000587. The next prime is 115583000627. The reversal of 115583000625 is 526000385511.

It is a happy number.

The square root of 115583000625 is 339975.

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

115583000625 is a `hidden beast` number, since 1 + 15 + 583 + 0 + 0 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9061707249 + 106521293376 = 95193^2 + 326376^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is a de Polignac number, because none of the positive numbers 2^k-115583000625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115583000625.

It is not an unprimeable number, because it can be changed into a prime (115583000627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 76493620 + ... + 76495130.

Almost surely, 2^115583000625 is an apocalyptic number.

115583000625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115583000625 is the 339975-th square number.

115583000625 is the 169988-th centered octagonal number.

It is an amenable number.

115583000625 is a deficient number, since it is larger than the sum of its proper divisors (100317102508).

115583000625 is an frugal number, since it uses more digits than its factorization.

115583000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Multiplying 115583000625 by its sum of digits (36), we get a square (4160988022500 = 2039850²).

The spelling of 115583000625 in words is "one hundred fifteen billion, five hundred eighty-three million, six hundred twenty-five", and thus it is an aban number.