257213321 has 2 divisors, whose sum is σ = 257213322. Its totient is φ = 257213320.

The previous prime is 257213303. The next prime is 257213339. The reversal of 257213321 is 123312752.

257213321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (257213303) and next prime (257213339).

It can be written as a sum of positive squares in only one way, i.e., 257153296 + 60025 = 16036^2 + 245^2 .

It is a cyclic number.

It is not a de Polignac number, because 257213321 - 2¹⁰ = 257212297 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257213221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128606660 + 128606661.

It is an arithmetic number, because the mean of its divisors is an integer number (128606661).

Almost surely, 2^257213321 is an apocalyptic number.

It is an amenable number.

257213321 is a deficient number, since it is larger than the sum of its proper divisors (1).

257213321 is an equidigital number, since it uses as much as digits as its factorization.

257213321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2520, while the sum is 26.

The square root of 257213321 is about 16037.8714610138. The cubic root of 257213321 is about 635.9619792218.

The spelling of 257213321 in words is "two hundred fifty-seven million, two hundred thirteen thousand, three hundred twenty-one".