3420123413257 has 2 divisors, whose sum is σ = 3420123413258. Its totient is φ = 3420123413256.

The previous prime is 3420123413237. The next prime is 3420123413261. The reversal of 3420123413257 is 7523143210243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3332592640521 + 87530772736 = 1825539^2 + 295856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3420123413257 is a prime.

It is not a weakly prime, because it can be changed into another prime (3420123413237) 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, 1710061706628 + 1710061706629.

It is an arithmetic number, because the mean of its divisors is an integer number (1710061706629).

Almost surely, 2^{3420123413257} is an apocalyptic number.

It is an amenable number.

3420123413257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3420123413257 is an equidigital number, since it uses as much as digits as its factorization.

3420123413257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 3420123413257 in words is "three trillion, four hundred twenty billion, one hundred twenty-three million, four hundred thirteen thousand, two hundred fifty-seven".