131544073582257 has 16 divisors (see below), whose sum is σ = 210998012764160. Its totient is φ = 71211829307472.

The previous prime is 131544073582237. The next prime is 131544073582301. The reversal of 131544073582257 is 752285370445131.

It is not a de Polignac number, because 131544073582257 - 2¹⁴ = 131544073565873 is a prime.

It is a super-2 number, since 2×131544073582257² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131544073582197 and 131544073582206.

It is not an unprimeable number, because it can be changed into a prime (131544073582217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164842197073 + ... + 164842197870.

It is an arithmetic number, because the mean of its divisors is an integer number (13187375797760).

Almost surely, 2^{131544073582257} is an apocalyptic number.

It is an amenable number.

131544073582257 is a deficient number, since it is larger than the sum of its proper divisors (79453939181903).

131544073582257 is a wasteful number, since it uses less digits than its factorization.

131544073582257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329684394972.

The product of its (nonzero) digits is 28224000, while the sum is 57.

The spelling of 131544073582257 in words is "one hundred thirty-one trillion, five hundred forty-four billion, seventy-three million, five hundred eighty-two thousand, two hundred fifty-seven".