2257427117593 has 2 divisors, whose sum is σ = 2257427117594. Its totient is φ = 2257427117592.

The previous prime is 2257427117503. The next prime is 2257427117651. The reversal of 2257427117593 is 3957117247522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2257214774409 + 212343184 = 1502403^2 + 14572^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257427117593 - 2¹³ = 2257427109401 is a prime.

It is a super-2 number, since 2×2257427117593² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2257427117503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128713558796 + 1128713558797.

It is an arithmetic number, because the mean of its divisors is an integer number (1128713558797).

Almost surely, 2^{2257427117593} is an apocalyptic number.

It is an amenable number.

2257427117593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257427117593 is an equidigital number, since it uses as much as digits as its factorization.

2257427117593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7408800, while the sum is 55.

The spelling of 2257427117593 in words is "two trillion, two hundred fifty-seven billion, four hundred twenty-seven million, one hundred seventeen thousand, five hundred ninety-three".