257057511572633 has 2 divisors, whose sum is σ = 257057511572634. Its totient is φ = 257057511572632.

The previous prime is 257057511572623. The next prime is 257057511572647. The reversal of 257057511572633 is 336275115750752.

257057511572633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166207866818569 + 90849644754064 = 12892163^2 + 9531508^2 .

It is a cyclic number.

It is not a de Polignac number, because 257057511572633 - 2¹⁴ = 257057511556249 is a prime.

It is not a weakly prime, because it can be changed into another prime (257057511572623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128528755786316 + 128528755786317.

It is an arithmetic number, because the mean of its divisors is an integer number (128528755786317).

Almost surely, 2^{257057511572633} is an apocalyptic number.

It is an amenable number.

257057511572633 is a deficient number, since it is larger than the sum of its proper divisors (1).

257057511572633 is an equidigital number, since it uses as much as digits as its factorization.

257057511572633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46305000, while the sum is 59.

The spelling of 257057511572633 in words is "two hundred fifty-seven trillion, fifty-seven billion, five hundred eleven million, five hundred seventy-two thousand, six hundred thirty-three".