2457146901257 has 2 divisors, whose sum is σ = 2457146901258. Its totient is φ = 2457146901256.

The previous prime is 2457146901227. The next prime is 2457146901283. The reversal of 2457146901257 is 7521096417542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1687858278976 + 769288622281 = 1299176^2 + 877091^2 .

It is a cyclic number.

It is not a de Polignac number, because 2457146901257 - 2¹⁰ = 2457146900233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2457146901199 and 2457146901208.

It is not a weakly prime, because it can be changed into another prime (2457146901227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1228573450628 + 1228573450629.

It is an arithmetic number, because the mean of its divisors is an integer number (1228573450629).

Almost surely, 2^{2457146901257} is an apocalyptic number.

It is an amenable number.

2457146901257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2457146901257 is an equidigital number, since it uses as much as digits as its factorization.

2457146901257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4233600, while the sum is 53.

The spelling of 2457146901257 in words is "two trillion, four hundred fifty-seven billion, one hundred forty-six million, nine hundred one thousand, two hundred fifty-seven".