130152561 has 96 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 60403200.

The previous prime is 130152559. The next prime is 130152613. The reversal of 130152561 is 165251031.

It is not a de Polignac number, because 130152561 - 2¹ = 130152559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130152161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 993466 + ... + 993596.

It is an arithmetic number, because the mean of its divisors is an integer number (2528064).

Almost surely, 2^130152561 is an apocalyptic number.

130152561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130152561 is a deficient number, since it is larger than the sum of its proper divisors (112541583).

130152561 is a wasteful number, since it uses less digits than its factorization.

130152561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 130152561 is about 11408.4425317394. The cubic root of 130152561 is about 506.7777893290. Note that the first 4 decimals are identical.

It can be divided in two parts, 13015 and 2561, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 130152561 in words is "one hundred thirty million, one hundred fifty-two thousand, five hundred sixty-one".