257057511572623 has 2 divisors, whose sum is σ = 257057511572624. Its totient is φ = 257057511572622.

The previous prime is 257057511572581. The next prime is 257057511572633. The reversal of 257057511572623 is 326275115750752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257057511572623 - 2⁴⁵ = 221873139483791 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257057511572633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128528755786311 + 128528755786312.

It is an arithmetic number, because the mean of its divisors is an integer number (128528755786312).

Almost surely, 2^{257057511572623} is an apocalyptic number.

257057511572623 is a deficient number, since it is larger than the sum of its proper divisors (1).

257057511572623 is an equidigital number, since it uses as much as digits as its factorization.

257057511572623 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30870000, while the sum is 58.

The spelling of 257057511572623 in words is "two hundred fifty-seven trillion, fifty-seven billion, five hundred eleven million, five hundred seventy-two thousand, six hundred twenty-three".