257377993 has 2 divisors, whose sum is σ = 257377994. Its totient is φ = 257377992.

The previous prime is 257377973. The next prime is 257377999. The reversal of 257377993 is 399773752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257377849 + 144 = 16043^2 + 12^2 .

It is a cyclic number.

It is not a de Polignac number, because 257377993 - 2⁵ = 257377961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257377993.

It is not a weakly prime, because it can be changed into another prime (257377999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128688996 + 128688997.

It is an arithmetic number, because the mean of its divisors is an integer number (128688997).

Almost surely, 2^257377993 is an apocalyptic number.

It is an amenable number.

257377993 is a deficient number, since it is larger than the sum of its proper divisors (1).

257377993 is an equidigital number, since it uses as much as digits as its factorization.

257377993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2500470, while the sum is 52.

The square root of 257377993 is about 16043.0044879380. The cubic root of 257377993 is about 636.0976678786.

The spelling of 257377993 in words is "two hundred fifty-seven million, three hundred seventy-seven thousand, nine hundred ninety-three".