257550001 has 2 divisors, whose sum is σ = 257550002. Its totient is φ = 257550000.

The previous prime is 257549977. The next prime is 257550037. The reversal of 257550001 is 100055752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242611776 + 14938225 = 15576^2 + 3865^2 .

It is a cyclic number.

It is not a de Polignac number, because 257550001 - 2⁵ = 257549969 is a prime.

It is not a weakly prime, because it can be changed into another prime (257550401) 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, 128775000 + 128775001.

It is an arithmetic number, because the mean of its divisors is an integer number (128775001).

Almost surely, 2^257550001 is an apocalyptic number.

It is an amenable number.

257550001 is a deficient number, since it is larger than the sum of its proper divisors (1).

257550001 is an equidigital number, since it uses as much as digits as its factorization.

257550001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 257550001 is about 16048.3644337982. The cubic root of 257550001 is about 636.2393395646.

The spelling of 257550001 in words is "two hundred fifty-seven million, five hundred fifty thousand, one".