130165816225 has 27 divisors (see below), whose sum is σ = 164322027763. Its totient is φ = 102283990640.

The previous prime is 130165816177. The next prime is 130165816237. The reversal of 130165816225 is 522618561031.

The square root of 130165816225 is 360785.

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

It can be written as a sum of positive squares in only one way, i.e., 46859693841 + 83306122384 = 216471^2 + 288628^2 .

It is not a de Polignac number, because 130165816225 - 2⁷ = 130165816097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106430964 + ... + 106432186.

Almost surely, 2^130165816225 is an apocalyptic number.

130165816225 is the 360785-th square number.

130165816225 is the 180393-rd centered octagonal number.

It is an amenable number.

130165816225 is a deficient number, since it is larger than the sum of its proper divisors (34156211538).

130165816225 is an frugal number, since it uses more digits than its factorization.

130165816225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 130165816225 in words is "one hundred thirty billion, one hundred sixty-five million, eight hundred sixteen thousand, two hundred twenty-five".