257148091 has 2 divisors, whose sum is σ = 257148092. Its totient is φ = 257148090.

The previous prime is 257148083. The next prime is 257148161. The reversal of 257148091 is 190841752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257148091 - 2³ = 257148083 is a prime.

It is a super-2 number, since 2×257148091² = 132250281409888562, which contains 22 as substring.

It is a Chen prime.

It is equal to p_14048659 and since 257148091 and 14048659 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257148091.

It is not a weakly prime, because it can be changed into another prime (257146091) 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, 128574045 + 128574046.

It is an arithmetic number, because the mean of its divisors is an integer number (128574046).

Almost surely, 2^257148091 is an apocalyptic number.

257148091 is a deficient number, since it is larger than the sum of its proper divisors (1).

257148091 is an equidigital number, since it uses as much as digits as its factorization.

257148091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 257148091 is about 16035.8377080837. The cubic root of 257148091 is about 635.9082141122.

The spelling of 257148091 in words is "two hundred fifty-seven million, one hundred forty-eight thousand, ninety-one".