257157353 has 2 divisors, whose sum is σ = 257157354. Its totient is φ = 257157352.

The previous prime is 257157311. The next prime is 257157359. The reversal of 257157353 is 353751752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176013289 + 81144064 = 13267^2 + 9008^2 .

It is a cyclic number.

It is not a de Polignac number, because 257157353 - 2¹⁰ = 257156329 is a prime.

It is a super-2 number, since 2×257157353² = 132259808403933218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257157359) 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, 128578676 + 128578677.

It is an arithmetic number, because the mean of its divisors is an integer number (128578677).

Almost surely, 2^257157353 is an apocalyptic number.

It is an amenable number.

257157353 is a deficient number, since it is larger than the sum of its proper divisors (1).

257157353 is an equidigital number, since it uses as much as digits as its factorization.

257157353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110250, while the sum is 38.

The square root of 257157353 is about 16036.1264961337. The cubic root of 257157353 is about 635.9158487675.

The spelling of 257157353 in words is "two hundred fifty-seven million, one hundred fifty-seven thousand, three hundred fifty-three".