257453101 has 2 divisors, whose sum is σ = 257453102. Its totient is φ = 257453100.

The previous prime is 257453093. The next prime is 257453107. The reversal of 257453101 is 101354752.

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., 171872100 + 85581001 = 13110^2 + 9251^2 .

It is a cyclic number.

It is not a de Polignac number, because 257453101 - 2³ = 257453093 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257453101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257453107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128726550 + 128726551.

It is an arithmetic number, because the mean of its divisors is an integer number (128726551).

Almost surely, 2^257453101 is an apocalyptic number.

It is an amenable number.

257453101 is a deficient number, since it is larger than the sum of its proper divisors (1).

257453101 is an equidigital number, since it uses as much as digits as its factorization.

257453101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 257453101 is about 16045.3451505413. The cubic root of 257453101 is about 636.1595371634.

The spelling of 257453101 in words is "two hundred fifty-seven million, four hundred fifty-three thousand, one hundred one".