2253410540657 has 2 divisors, whose sum is σ = 2253410540658. Its totient is φ = 2253410540656.

The previous prime is 2253410540629. The next prime is 2253410540671. The reversal of 2253410540657 is 7560450143522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1214721396736 + 1038689143921 = 1102144^2 + 1019161^2 .

It is a cyclic number.

It is not a de Polignac number, because 2253410540657 - 2³⁶ = 2184691063921 is a prime.

It is not a weakly prime, because it can be changed into another prime (2253410540627) 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, 1126705270328 + 1126705270329.

It is an arithmetic number, because the mean of its divisors is an integer number (1126705270329).

Almost surely, 2^{2253410540657} is an apocalyptic number.

It is an amenable number.

2253410540657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253410540657 is an equidigital number, since it uses as much as digits as its factorization.

2253410540657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 2253410540657 in words is "two trillion, two hundred fifty-three billion, four hundred ten million, five hundred forty thousand, six hundred fifty-seven".