331200257 has 2 divisors, whose sum is σ = 331200258. Its totient is φ = 331200256.

The previous prime is 331200241. The next prime is 331200263. The reversal of 331200257 is 752002133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215766721 + 115433536 = 14689^2 + 10744^2 .

It is a cyclic number.

It is not a de Polignac number, because 331200257 - 2⁴ = 331200241 is a prime.

It is a super-2 number, since 2×331200257² = 219387220473732098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331200227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165600128 + 165600129.

It is an arithmetic number, because the mean of its divisors is an integer number (165600129).

Almost surely, 2^331200257 is an apocalyptic number.

It is an amenable number.

331200257 is a deficient number, since it is larger than the sum of its proper divisors (1).

331200257 is an equidigital number, since it uses as much as digits as its factorization.

331200257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 331200257 is about 18198.9081265883. The cubic root of 331200257 is about 691.8791157581.

The spelling of 331200257 in words is "three hundred thirty-one million, two hundred thousand, two hundred fifty-seven".