257734013 has 2 divisors, whose sum is σ = 257734014. Its totient is φ = 257734012.

The previous prime is 257733979. The next prime is 257734033. The reversal of 257734013 is 310437752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252079129 + 5654884 = 15877^2 + 2378^2 .

It is a cyclic number.

It is not a de Polignac number, because 257734013 - 2¹⁰ = 257732989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257734033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128867006 + 128867007.

It is an arithmetic number, because the mean of its divisors is an integer number (128867007).

Almost surely, 2^257734013 is an apocalyptic number.

It is an amenable number.

257734013 is a deficient number, since it is larger than the sum of its proper divisors (1).

257734013 is an equidigital number, since it uses as much as digits as its factorization.

257734013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 257734013 is about 16054.0964554222. The cubic root of 257734013 is about 636.3908283390.

The spelling of 257734013 in words is "two hundred fifty-seven million, seven hundred thirty-four thousand, thirteen".