130541303025 has 405 divisors, whose sum is σ = 298720663857. Its totient is φ = 56190153600.

The previous prime is 130541303017. The next prime is 130541303033. The reversal of 130541303025 is 520303145031.

The square root of 130541303025 is 361305.

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

It is an interprime number because it is at equal distance from previous prime (130541303017) and next prime (130541303033).

It can be written as a sum of positive squares in 4 ways, for example, as 12392365041 + 118148937984 = 111321^2 + 343728^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 130541303025 - 2³ = 130541303017 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130541303025.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 3528143307 + ... + 3528143343.

Almost surely, 2^130541303025 is an apocalyptic number.

130541303025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130541303025 is the 361305-th square number.

130541303025 is the 180653-rd centered octagonal number.

It is an amenable number.

130541303025 is an abundant number, since it is smaller than the sum of its proper divisors (168179360832).

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

130541303025 is an equidigital number, since it uses as much as digits as its factorization.

130541303025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 130541303025 its reverse (520303145031), we get a palindrome (650844448056).

The spelling of 130541303025 in words is "one hundred thirty billion, five hundred forty-one million, three hundred three thousand, twenty-five".