131616257 has 2 divisors, whose sum is σ = 131616258. Its totient is φ = 131616256.

The previous prime is 131616253. The next prime is 131616259. The reversal of 131616257 is 752616131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124902976 + 6713281 = 11176^2 + 2591^2 .

It is a cyclic number.

It is not a de Polignac number, because 131616257 - 2² = 131616253 is a prime.

Together with 131616259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131616253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65808128 + 65808129.

It is an arithmetic number, because the mean of its divisors is an integer number (65808129).

Almost surely, 2^131616257 is an apocalyptic number.

It is an amenable number.

131616257 is a deficient number, since it is larger than the sum of its proper divisors (1).

131616257 is an equidigital number, since it uses as much as digits as its factorization.

131616257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 32.

The square root of 131616257 is about 11472.4128673963. The cubic root of 131616257 is about 508.6704533873.

The spelling of 131616257 in words is "one hundred thirty-one million, six hundred sixteen thousand, two hundred fifty-seven".