257826253 has 2 divisors, whose sum is σ = 257826254. Its totient is φ = 257826252.

The previous prime is 257826241. The next prime is 257826259. The reversal of 257826253 is 352628752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183142089 + 74684164 = 13533^2 + 8642^2 .

It is a cyclic number.

It is not a de Polignac number, because 257826253 - 2⁵ = 257826221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257826259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128913126 + 128913127.

It is an arithmetic number, because the mean of its divisors is an integer number (128913127).

Almost surely, 2^257826253 is an apocalyptic number.

It is an amenable number.

257826253 is a deficient number, since it is larger than the sum of its proper divisors (1).

257826253 is an equidigital number, since it uses as much as digits as its factorization.

257826253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 201600, while the sum is 40.

The square root of 257826253 is about 16056.9689854592. The cubic root of 257826253 is about 636.4667382379.

The spelling of 257826253 in words is "two hundred fifty-seven million, eight hundred twenty-six thousand, two hundred fifty-three".