2931409667257 has 2 divisors, whose sum is σ = 2931409667258. Its totient is φ = 2931409667256.

The previous prime is 2931409667189. The next prime is 2931409667261. The reversal of 2931409667257 is 7527669041392.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1626379887616 + 1305029779641 = 1275296^2 + 1142379^2 .

It is a cyclic number.

It is not a de Polignac number, because 2931409667257 - 2¹¹ = 2931409665209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2931409667195 and 2931409667204.

It is not a weakly prime, because it can be changed into another prime (2931409667657) 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 as a sum of consecutive naturals, namely, 1465704833628 + 1465704833629.

It is an arithmetic number, because the mean of its divisors is an integer number (1465704833629).

Almost surely, 2^{2931409667257} is an apocalyptic number.

It is an amenable number.

2931409667257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2931409667257 is an equidigital number, since it uses as much as digits as its factorization.

2931409667257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 2931409667257 in words is "two trillion, nine hundred thirty-one billion, four hundred nine million, six hundred sixty-seven thousand, two hundred fifty-seven".