257237641 has 2 divisors, whose sum is σ = 257237642. Its totient is φ = 257237640.

The previous prime is 257237537. The next prime is 257237647. The reversal of 257237641 is 146732752.

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., 226201600 + 31036041 = 15040^2 + 5571^2 .

It is a cyclic number.

It is not a de Polignac number, because 257237641 - 2¹⁵ = 257204873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257237641.

It is not a weakly prime, because it can be changed into another prime (257237647) 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, 128618820 + 128618821.

It is an arithmetic number, because the mean of its divisors is an integer number (128618821).

Almost surely, 2^257237641 is an apocalyptic number.

It is an amenable number.

257237641 is a deficient number, since it is larger than the sum of its proper divisors (1).

257237641 is an equidigital number, since it uses as much as digits as its factorization.

257237641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 37.

The square root of 257237641 is about 16038.6296484457. The cubic root of 257237641 is about 635.9820223878.

The spelling of 257237641 in words is "two hundred fifty-seven million, two hundred thirty-seven thousand, six hundred forty-one".