34319561513 has 2 divisors, whose sum is σ = 34319561514. Its totient is φ = 34319561512.

The previous prime is 34319561477. The next prime is 34319561531. The reversal of 34319561513 is 31516591343.

Together with next prime (34319561531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30980224144 + 3339337369 = 176012^2 + 57787^2 .

It is a cyclic number.

It is not a de Polignac number, because 34319561513 - 2¹⁰ = 34319560489 is a prime.

It is not a weakly prime, because it can be changed into another prime (34319561593) 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, 17159780756 + 17159780757.

It is an arithmetic number, because the mean of its divisors is an integer number (17159780757).

Almost surely, 2^34319561513 is an apocalyptic number.

It is an amenable number.

34319561513 is a deficient number, since it is larger than the sum of its proper divisors (1).

34319561513 is an equidigital number, since it uses as much as digits as its factorization.

34319561513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145800, while the sum is 41.

The spelling of 34319561513 in words is "thirty-four billion, three hundred nineteen million, five hundred sixty-one thousand, five hundred thirteen".