34368058385513 has 2 divisors, whose sum is σ = 34368058385514. Its totient is φ = 34368058385512.

The previous prime is 34368058385461. The next prime is 34368058385537. The reversal of 34368058385513 is 31558385086343.

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., 27868347786304 + 6499710599209 = 5279048^2 + 2549453^2 .

It is a cyclic number.

It is not a de Polignac number, because 34368058385513 - 2⁸ = 34368058385257 is a prime.

It is a super-2 number, since 2×34368058385513² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34368058385543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17184029192756 + 17184029192757.

It is an arithmetic number, because the mean of its divisors is an integer number (17184029192757).

Almost surely, 2^{34368058385513} is an apocalyptic number.

It is an amenable number.

34368058385513 is a deficient number, since it is larger than the sum of its proper divisors (1).

34368058385513 is an equidigital number, since it uses as much as digits as its factorization.

34368058385513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416000, while the sum is 62.

The spelling of 34368058385513 in words is "thirty-four trillion, three hundred sixty-eight billion, fifty-eight million, three hundred eighty-five thousand, five hundred thirteen".