130389599025 has 243 divisors, whose sum is σ = 288315521793. Its totient is φ = 56157494400.

The previous prime is 130389598993. The next prime is 130389599027. The reversal of 130389599025 is 520995983031.

The square root of 130389599025 is 361095.

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

130389599025 is a `hidden beast` number, since 13 + 0 + 38 + 9 + 599 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69979824369 + 60409774656 = 264537^2 + 245784^2 .

It is not a de Polignac number, because 130389599025 - 2⁵ = 130389598993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130389599027) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 720384435 + ... + 720384615.

Almost surely, 2^130389599025 is an apocalyptic number.

130389599025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130389599025 is the 361095-th square number.

130389599025 is the 180548-th centered octagonal number.

It is an amenable number.

130389599025 is an abundant number, since it is smaller than the sum of its proper divisors (157925922768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130389599025 is a wasteful number, since it uses less digits than its factorization.

130389599025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 130389599025 in words is "one hundred thirty billion, three hundred eighty-nine million, five hundred ninety-nine thousand, twenty-five".