314435969534413 has 2 divisors, whose sum is σ = 314435969534414. Its totient is φ = 314435969534412.

The previous prime is 314435969534353. The next prime is 314435969534429.

314435969534413 is nontrivially palindromic in base 10.

It is the 7239199-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309377599691689 + 5058369842724 = 17589133^2 + 2249082^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 314435969534413 - 2¹³ = 314435969526221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314435969534443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157217984767206 + 157217984767207.

It is an arithmetic number, because the mean of its divisors is an integer number (157217984767207).

Almost surely, 2^{314435969534413} is an apocalyptic number.

It is an amenable number.

314435969534413 is a deficient number, since it is larger than the sum of its proper divisors (1).

314435969534413 is an equidigital number, since it uses as much as digits as its factorization.

314435969534413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 251942400, while the sum is 64.

The spelling of 314435969534413 in words is "three hundred fourteen trillion, four hundred thirty-five billion, nine hundred sixty-nine million, five hundred thirty-four thousand, four hundred thirteen".