257024773 has 2 divisors, whose sum is σ = 257024774. Its totient is φ = 257024772.

The previous prime is 257024749. The next prime is 257024783. The reversal of 257024773 is 377420752.

257024773 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., 142491969 + 114532804 = 11937^2 + 10702^2 .

It is a cyclic number.

It is not a de Polignac number, because 257024773 - 2¹³ = 257016581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257024743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128512386 + 128512387.

It is an arithmetic number, because the mean of its divisors is an integer number (128512387).

Almost surely, 2^257024773 is an apocalyptic number.

It is an amenable number.

257024773 is a deficient number, since it is larger than the sum of its proper divisors (1).

257024773 is an equidigital number, since it uses as much as digits as its factorization.

257024773 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82320, while the sum is 37.

The square root of 257024773 is about 16031.9921719043. The cubic root of 257024773 is about 635.8065457600.

The spelling of 257024773 in words is "two hundred fifty-seven million, twenty-four thousand, seven hundred seventy-three".