257131229 has 2 divisors, whose sum is σ = 257131230. Its totient is φ = 257131228.

The previous prime is 257131211. The next prime is 257131243. The reversal of 257131229 is 922131752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130005604 + 127125625 = 11402^2 + 11275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257131229 is a prime.

It is a super-2 number, since 2×257131229² = 132232937854100882, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257131195 and 257131204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257131279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128565614 + 128565615.

It is an arithmetic number, because the mean of its divisors is an integer number (128565615).

Almost surely, 2^257131229 is an apocalyptic number.

It is an amenable number.

257131229 is a deficient number, since it is larger than the sum of its proper divisors (1).

257131229 is an equidigital number, since it uses as much as digits as its factorization.

257131229 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 257131229 is about 16035.3119395913. The cubic root of 257131229 is about 635.8943143153.

The spelling of 257131229 in words is "two hundred fifty-seven million, one hundred thirty-one thousand, two hundred twenty-nine".