257650073 has 2 divisors, whose sum is σ = 257650074. Its totient is φ = 257650072.

The previous prime is 257650049. The next prime is 257650087. The reversal of 257650073 is 370056752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231404944 + 26245129 = 15212^2 + 5123^2 .

It is a cyclic number.

It is not a de Polignac number, because 257650073 - 2²⁴ = 240872857 is a prime.

It is not a weakly prime, because it can be changed into another prime (257650033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128825036 + 128825037.

It is an arithmetic number, because the mean of its divisors is an integer number (128825037).

Almost surely, 2^257650073 is an apocalyptic number.

It is an amenable number.

257650073 is a deficient number, since it is larger than the sum of its proper divisors (1).

257650073 is an equidigital number, since it uses as much as digits as its factorization.

257650073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 257650073 is about 16051.4819565048. The cubic root of 257650073 is about 636.3217332724.

The spelling of 257650073 in words is "two hundred fifty-seven million, six hundred fifty thousand, seventy-three".