257034751 has 2 divisors, whose sum is σ = 257034752. Its totient is φ = 257034750.

The previous prime is 257034721. The next prime is 257034761. The reversal of 257034751 is 157430752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257034751 - 2⁵ = 257034719 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257034721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128517375 + 128517376.

It is an arithmetic number, because the mean of its divisors is an integer number (128517376).

Almost surely, 2^257034751 is an apocalyptic number.

257034751 is a deficient number, since it is larger than the sum of its proper divisors (1).

257034751 is an equidigital number, since it uses as much as digits as its factorization.

257034751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 257034751 is about 16032.3033591559. The cubic root of 257034751 is about 635.8147732362.

The spelling of 257034751 in words is "two hundred fifty-seven million, thirty-four thousand, seven hundred fifty-one".