257620313 has 2 divisors, whose sum is σ = 257620314. Its totient is φ = 257620312.

The previous prime is 257620303. The next prime is 257620331. The reversal of 257620313 is 313026752.

Together with next prime (257620331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248787529 + 8832784 = 15773^2 + 2972^2 .

It is a cyclic number.

It is not a de Polignac number, because 257620313 - 2¹⁰ = 257619289 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257620303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128810156 + 128810157.

It is an arithmetic number, because the mean of its divisors is an integer number (128810157).

Almost surely, 2^257620313 is an apocalyptic number.

It is an amenable number.

257620313 is a deficient number, since it is larger than the sum of its proper divisors (1).

257620313 is an equidigital number, since it uses as much as digits as its factorization.

257620313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 257620313 is about 16050.5549125256. The cubic root of 257620313 is about 636.2972327761.

The spelling of 257620313 in words is "two hundred fifty-seven million, six hundred twenty thousand, three hundred thirteen".