130614561 has 48 divisors (see below), whose sum is σ = 241008768. Its totient is φ = 66182400.

The previous prime is 130614469. The next prime is 130614577. The reversal of 130614561 is 165416031.

It is not a de Polignac number, because 130614561 - 2¹⁴ = 130598177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130614061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26115 + ... + 30711.

It is an arithmetic number, because the mean of its divisors is an integer number (5021016).

Almost surely, 2^130614561 is an apocalyptic number.

130614561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130614561 is a deficient number, since it is larger than the sum of its proper divisors (110394207).

130614561 is a wasteful number, since it uses less digits than its factorization.

130614561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130614561 is about 11428.6727575865. The cubic root of 130614561 is about 507.3767142917.

The spelling of 130614561 in words is "one hundred thirty million, six hundred fourteen thousand, five hundred sixty-one".