131057607 has 32 divisors (see below), whose sum is σ = 191056320. Its totient is φ = 79585280.

The previous prime is 131057543. The next prime is 131057609. The reversal of 131057607 is 706750131.

It is a cyclic number.

It is not a de Polignac number, because 131057607 - 2⁶ = 131057543 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131057609) 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 31 ways as a sum of consecutive naturals, for example, 487069 + ... + 487337.

It is an arithmetic number, because the mean of its divisors is an integer number (5970510).

Almost surely, 2^131057607 is an apocalyptic number.

131057607 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131057607 is a deficient number, since it is larger than the sum of its proper divisors (59998713).

131057607 is a wasteful number, since it uses less digits than its factorization.

131057607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 131057607 is about 11448.0394391354. The cubic root of 131057607 is about 507.9497426359.

The spelling of 131057607 in words is "one hundred thirty-one million, fifty-seven thousand, six hundred seven".