257140673 has 2 divisors, whose sum is σ = 257140674. Its totient is φ = 257140672.

The previous prime is 257140613. The next prime is 257140693. The reversal of 257140673 is 376041752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137194369 + 119946304 = 11713^2 + 10952^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257140673 is a prime.

It is a super-2 number, since 2×257140673² = 132242651421785858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257140603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128570336 + 128570337.

It is an arithmetic number, because the mean of its divisors is an integer number (128570337).

Almost surely, 2^257140673 is an apocalyptic number.

It is an amenable number.

257140673 is a deficient number, since it is larger than the sum of its proper divisors (1).

257140673 is an equidigital number, since it uses as much as digits as its factorization.

257140673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 257140673 is about 16035.6064119821. The cubic root of 257140673 is about 635.9020993315.

The spelling of 257140673 in words is "two hundred fifty-seven million, one hundred forty thousand, six hundred seventy-three".