3413144240257 has 2 divisors, whose sum is σ = 3413144240258. Its totient is φ = 3413144240256.

The previous prime is 3413144240201. The next prime is 3413144240323. The reversal of 3413144240257 is 7520424413143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2248128389376 + 1165015850881 = 1499376^2 + 1079359^2 .

It is a cyclic number.

It is not a de Polignac number, because 3413144240257 - 2¹⁵ = 3413144207489 is a prime.

It is not a weakly prime, because it can be changed into another prime (3413144280257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1706572120128 + 1706572120129.

It is an arithmetic number, because the mean of its divisors is an integer number (1706572120129).

Almost surely, 2^{3413144240257} is an apocalyptic number.

It is an amenable number.

3413144240257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3413144240257 is an equidigital number, since it uses as much as digits as its factorization.

3413144240257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 3413144240257 in words is "three trillion, four hundred thirteen billion, one hundred forty-four million, two hundred forty thousand, two hundred fifty-seven".