257410213 has 2 divisors, whose sum is σ = 257410214. Its totient is φ = 257410212.

The previous prime is 257410199. The next prime is 257410229. The reversal of 257410213 is 312014752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236452129 + 20958084 = 15377^2 + 4578^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257410213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257410253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128705106 + 128705107.

It is an arithmetic number, because the mean of its divisors is an integer number (128705107).

Almost surely, 2^257410213 is an apocalyptic number.

It is an amenable number.

257410213 is a deficient number, since it is larger than the sum of its proper divisors (1).

257410213 is an equidigital number, since it uses as much as digits as its factorization.

257410213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 257410213 is about 16044.0086325083. The cubic root of 257410213 is about 636.1242101785.

Adding to 257410213 its reverse (312014752), we get a palindrome (569424965).

It can be divided in two parts, 2574 and 10213, that multiplied together give a palindrome (26288262).

The spelling of 257410213 in words is "two hundred fifty-seven million, four hundred ten thousand, two hundred thirteen".