61813125 has 120 divisors (see below), whose sum is σ = 129633504. Its totient is φ = 29160000.

The previous prime is 61813093. The next prime is 61813127. The reversal of 61813125 is 52131816.

It is not a de Polignac number, because 61813125 - 2⁵ = 61813093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61813127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1670607 + ... + 1670643.

Almost surely, 2^61813125 is an apocalyptic number.

It is an amenable number.

61813125 is an abundant number, since it is smaller than the sum of its proper divisors (67820379).

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

61813125 is an equidigital number, since it uses as much as digits as its factorization.

61813125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 61813125 is about 7862.1323443453. The cubic root of 61813125 is about 395.3911097036.

The spelling of 61813125 in words is "sixty-one million, eight hundred thirteen thousand, one hundred twenty-five".