257418431 has 2 divisors, whose sum is σ = 257418432. Its totient is φ = 257418430.

The previous prime is 257418379. The next prime is 257418439. The reversal of 257418431 is 134814752.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257418431 is a prime.

It is a super-2 number, since 2×257418431² = 132528497237003522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 257418391 and 257418400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257418439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128709215 + 128709216.

It is an arithmetic number, because the mean of its divisors is an integer number (128709216).

Almost surely, 2^257418431 is an apocalyptic number.

257418431 is a deficient number, since it is larger than the sum of its proper divisors (1).

257418431 is an equidigital number, since it uses as much as digits as its factorization.

257418431 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26880, while the sum is 35.

The square root of 257418431 is about 16044.2647385288. The cubic root of 257418431 is about 636.1309796757.

The spelling of 257418431 in words is "two hundred fifty-seven million, four hundred eighteen thousand, four hundred thirty-one".