131264257 has 2 divisors, whose sum is σ = 131264258. Its totient is φ = 131264256.

The previous prime is 131264249. The next prime is 131264299. The reversal of 131264257 is 752462131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83156161 + 48108096 = 9119^2 + 6936^2 .

It is an emirp because it is prime and its reverse (752462131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131264257 - 2³ = 131264249 is a prime.

It is not a weakly prime, because it can be changed into another prime (131264057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65632128 + 65632129.

It is an arithmetic number, because the mean of its divisors is an integer number (65632129).

Almost surely, 2^131264257 is an apocalyptic number.

It is an amenable number.

131264257 is a deficient number, since it is larger than the sum of its proper divisors (1).

131264257 is an equidigital number, since it uses as much as digits as its factorization.

131264257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 131264257 is about 11457.0614469854. The cubic root of 131264257 is about 508.2165787099.

The spelling of 131264257 in words is "one hundred thirty-one million, two hundred sixty-four thousand, two hundred fifty-seven".