257491501 has 2 divisors, whose sum is σ = 257491502. Its totient is φ = 257491500.

The previous prime is 257491489. The next prime is 257491561. The reversal of 257491501 is 105194752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175589001 + 81902500 = 13251^2 + 9050^2 .

It is a cyclic number.

It is not a de Polignac number, because 257491501 - 2¹⁷ = 257360429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257491561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128745750 + 128745751.

It is an arithmetic number, because the mean of its divisors is an integer number (128745751).

Almost surely, 2^257491501 is an apocalyptic number.

It is an amenable number.

257491501 is a deficient number, since it is larger than the sum of its proper divisors (1).

257491501 is an equidigital number, since it uses as much as digits as its factorization.

257491501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 257491501 is about 16046.5417146499. The cubic root of 257491501 is about 636.1911640392.

The spelling of 257491501 in words is "two hundred fifty-seven million, four hundred ninety-one thousand, five hundred one".