130807521 has 48 divisors (see below), whose sum is σ = 212572800. Its totient is φ = 79455168.

The previous prime is 130807519. The next prime is 130807541. The reversal of 130807521 is 125708031.

130807521 is a `hidden beast` number, since 130 + 8 + 0 + 7 + 521 = 666.

It is not a de Polignac number, because 130807521 - 2¹ = 130807519 is a prime.

It is a super-2 number, since 2×130807521² = 34221215100330882, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130807511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497236 + ... + 497498.

It is an arithmetic number, because the mean of its divisors is an integer number (4428600).

Almost surely, 2^130807521 is an apocalyptic number.

It is an amenable number.

130807521 is a deficient number, since it is larger than the sum of its proper divisors (81765279).

130807521 is a wasteful number, since it uses less digits than its factorization.

130807521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 130807521 is about 11437.1115671746. Note that the first 3 decimals coincide. The cubic root of 130807521 is about 507.6264445869.

It can be divided in two parts, 130807 and 521, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 130807521 in words is "one hundred thirty million, eight hundred seven thousand, five hundred twenty-one".