256738753 has 2 divisors, whose sum is σ = 256738754. Its totient is φ = 256738752.

The previous prime is 256738733. The next prime is 256738763. The reversal of 256738753 is 357837652.

256738753 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., 212343184 + 44395569 = 14572^2 + 6663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256738753 is a prime.

It is not a weakly prime, because it can be changed into another prime (256738723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128369376 + 128369377.

It is an arithmetic number, because the mean of its divisors is an integer number (128369377).

Almost surely, 2^256738753 is an apocalyptic number.

It is an amenable number.

256738753 is a deficient number, since it is larger than the sum of its proper divisors (1).

256738753 is an equidigital number, since it uses as much as digits as its factorization.

256738753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1058400, while the sum is 46.

The square root of 256738753 is about 16023.0694000869. The cubic root of 256738753 is about 635.5706140455.

The spelling of 256738753 in words is "two hundred fifty-six million, seven hundred thirty-eight thousand, seven hundred fifty-three".