257363753 has 2 divisors, whose sum is σ = 257363754. Its totient is φ = 257363752.

The previous prime is 257363699. The next prime is 257363773. The reversal of 257363753 is 357363752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165817129 + 91546624 = 12877^2 + 9568^2 .

It is a cyclic number.

It is not a de Polignac number, because 257363753 - 2¹² = 257359657 is a prime.

It is a super-2 number, since 2×257363753² = 132472202716490018, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257363753.

It is not a weakly prime, because it can be changed into another prime (257363773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128681876 + 128681877.

It is an arithmetic number, because the mean of its divisors is an integer number (128681877).

Almost surely, 2^257363753 is an apocalyptic number.

It is an amenable number.

257363753 is a deficient number, since it is larger than the sum of its proper divisors (1).

257363753 is an equidigital number, since it uses as much as digits as its factorization.

257363753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 396900, while the sum is 41.

The square root of 257363753 is about 16042.5606746554. The cubic root of 257363753 is about 636.0859364976.

Subtracting 257363753 from its reverse (357363752), we obtain a palindrome (99999999).

The spelling of 257363753 in words is "two hundred fifty-seven million, three hundred sixty-three thousand, seven hundred fifty-three".