4631258257 has 2 divisors, whose sum is σ = 4631258258. Its totient is φ = 4631258256.

The previous prime is 4631258239. The next prime is 4631258273. The reversal of 4631258257 is 7528521364.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4431431761 + 199826496 = 66569^2 + 14136^2 .

It is a cyclic number.

It is not a de Polignac number, because 4631258257 - 2²³ = 4622869649 is a prime.

It is not a weakly prime, because it can be changed into another prime (4631250257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2315629128 + 2315629129.

It is an arithmetic number, because the mean of its divisors is an integer number (2315629129).

Almost surely, 2^4631258257 is an apocalyptic number.

It is an amenable number.

4631258257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4631258257 is an equidigital number, since it uses as much as digits as its factorization.

4631258257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 403200, while the sum is 43.

The square root of 4631258257 is about 68053.3486097488. The cubic root of 4631258257 is about 1666.8620790386.

The spelling of 4631258257 in words is "four billion, six hundred thirty-one million, two hundred fifty-eight thousand, two hundred fifty-seven".