3042891121657 has 2 divisors, whose sum is σ = 3042891121658. Its totient is φ = 3042891121656.

The previous prime is 3042891121619. The next prime is 3042891121663. The reversal of 3042891121657 is 7561211982403.

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., 1925270026681 + 1117621094976 = 1387541^2 + 1057176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3042891121657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3042891121657.

It is not a weakly prime, because it can be changed into another prime (3042891121607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1521445560828 + 1521445560829.

It is an arithmetic number, because the mean of its divisors is an integer number (1521445560829).

It is a 1-persistent number, because it is pandigital, but 2⋅3042891121657 = 6085782243314 is not.

Almost surely, 2^{3042891121657} is an apocalyptic number.

It is an amenable number.

3042891121657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3042891121657 is an equidigital number, since it uses as much as digits as its factorization.

3042891121657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 3042891121657 in words is "three trillion, forty-two billion, eight hundred ninety-one million, one hundred twenty-one thousand, six hundred fifty-seven".