130513625 has 24 divisors (see below), whose sum is σ = 179055240. Its totient is φ = 94908000.

The previous prime is 130513589. The next prime is 130513637. The reversal of 130513625 is 526315031.

It can be written as a sum of positive squares in 4 ways, for example, as 644809 + 129868816 = 803^2 + 11396^2 .

It is not a de Polignac number, because 130513625 - 2¹⁰ = 130512601 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130513594 and 130513603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10811 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (7460635).

Almost surely, 2^130513625 is an apocalyptic number.

It is an amenable number.

130513625 is a deficient number, since it is larger than the sum of its proper divisors (48541615).

130513625 is an equidigital number, since it uses as much as digits as its factorization.

130513625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8666 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 130513625 is about 11424.2559932803. The cubic root of 130513625 is about 507.2459841666.

Adding to 130513625 its reverse (526315031), we get a palindrome (656828656).

The spelling of 130513625 in words is "one hundred thirty million, five hundred thirteen thousand, six hundred twenty-five".