257642533 has 2 divisors, whose sum is σ = 257642534. Its totient is φ = 257642532.

The previous prime is 257642521. The next prime is 257642543. The reversal of 257642533 is 335246752.

257642533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156700324 + 100942209 = 12518^2 + 10047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257642533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257642492 and 257642501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257642513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128821266 + 128821267.

It is an arithmetic number, because the mean of its divisors is an integer number (128821267).

Almost surely, 2^257642533 is an apocalyptic number.

It is an amenable number.

257642533 is a deficient number, since it is larger than the sum of its proper divisors (1).

257642533 is an equidigital number, since it uses as much as digits as its factorization.

257642533 is an evil number, because the sum of its binary digits is even.

The product of its digits is 151200, while the sum is 37.

The square root of 257642533 is about 16051.2470855071. The cubic root of 257642533 is about 636.3155259998.

The spelling of 257642533 in words is "two hundred fifty-seven million, six hundred forty-two thousand, five hundred thirty-three".