130881951333225 has 81 divisors (see below), whose sum is σ = 240016157153253. Its totient is φ = 68176521383040.

The previous prime is 130881951333181. The next prime is 130881951333229. The reversal of 130881951333225 is 522333159188031.

The square root of 130881951333225 is 11440365.

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

130881951333225 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 81 + 9 + 5 + 1 + 333 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10072923921369 + 120809027411856 = 3173787^2 + 10991316^2 .

It is not a de Polignac number, because 130881951333225 - 2⁷ = 130881951333097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130881951333229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7379026557 + ... + 7379044293.

Almost surely, 2^{130881951333225} is an apocalyptic number.

130881951333225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130881951333225 is the 11440365-th square number.

130881951333225 is the 5720183-rd centered octagonal number.

It is an amenable number.

130881951333225 is a deficient number, since it is larger than the sum of its proper divisors (109134205820028).

130881951333225 is an frugal number, since it uses more digits than its factorization.

130881951333225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35576 (or 17788 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 130881951333225 in words is "one hundred thirty trillion, eight hundred eighty-one billion, nine hundred fifty-one million, three hundred thirty-three thousand, two hundred twenty-five".