257788413 has 10 divisors (see below), whose sum is σ = 385091454. Its totient is φ = 171858888.

The previous prime is 257788387. The next prime is 257788417. The reversal of 257788413 is 314887752.

It can be written as a sum of positive squares in only one way, i.e., 153809604 + 103978809 = 12402^2 + 10197^2 .

It is not a de Polignac number, because 257788413 - 2¹⁶ = 257722877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257788417) 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 in 9 ways as a sum of consecutive naturals, for example, 1591206 + ... + 1591367.

Almost surely, 2^257788413 is an apocalyptic number.

It is an amenable number.

257788413 is a deficient number, since it is larger than the sum of its proper divisors (127303041).

257788413 is an equidigital number, since it uses as much as digits as its factorization.

257788413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182585 (or 3182576 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 257788413 is about 16055.7906376485. The cubic root of 257788413 is about 636.4355995939.

It can be divided in two parts, 25778 and 8413, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 257788413 in words is "two hundred fifty-seven million, seven hundred eighty-eight thousand, four hundred thirteen".