130953125 has 42 divisors (see below), whose sum is σ = 179880510. Its totient is φ = 95200000.

The previous prime is 130953113. The next prime is 130953133. The reversal of 130953125 is 521359031.

It can be written as a sum of positive squares in 21 ways, for example, as 99660289 + 31292836 = 9983^2 + 5594^2 .

It is not a de Polignac number, because 130953125 - 2⁶ = 130953061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4515611 + ... + 4515639.

Almost surely, 2^130953125 is an apocalyptic number.

It is an amenable number.

130953125 is a deficient number, since it is larger than the sum of its proper divisors (48927385).

130953125 is an frugal number, since it uses more digits than its factorization.

130953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 130953125 is about 11443.4752151608. The cubic root of 130953125 is about 507.8147238561.

Multiplying 130953125 by its sum of digits (29), we get a square (3797640625 = 61625²).

130953125 divided by its sum of digits (29) gives a square (4515625 = 2125²).

The spelling of 130953125 in words is "one hundred thirty million, nine hundred fifty-three thousand, one hundred twenty-five".