130168702521 has 135 divisors (see below), whose sum is σ = 231781100187. Its totient is φ = 70310560320.

The previous prime is 130168702513. The next prime is 130168702627. The reversal of 130168702521 is 125207861031.

The square root of 130168702521 is 360789.

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

130168702521 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 68 + 70 + 2 + 521 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 106194515625 + 23974186896 = 325875^2 + 154836^2 .

It is not a de Polignac number, because 130168702521 - 2³ = 130168702513 is a prime.

It is a super-2 number, since 2×130168702521² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130168702501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4488575935 + ... + 4488575963.

Almost surely, 2^130168702521 is an apocalyptic number.

130168702521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130168702521 is the 360789-th square number.

130168702521 is the 180395-th centered octagonal number.

It is an amenable number.

130168702521 is a deficient number, since it is larger than the sum of its proper divisors (101612397666).

130168702521 is an frugal number, since it uses more digits than its factorization.

130168702521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 130168702521 by its sum of digits (36), we get a square (4686073290756 = 2164734²).

The spelling of 130168702521 in words is "one hundred thirty billion, one hundred sixty-eight million, seven hundred two thousand, five hundred twenty-one".