34628890013 has 2 divisors, whose sum is σ = 34628890014. Its totient is φ = 34628890012.

The previous prime is 34628889991. The next prime is 34628890031. The reversal of 34628890013 is 31009882643.

Together with next prime (34628890031) 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., 17498792089 + 17130097924 = 132283^2 + 130882^2 .

It is a cyclic number.

It is not a de Polignac number, because 34628890013 - 2¹⁰ = 34628888989 is a prime.

It is a super-2 number, since 2×34628890013² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34628890063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17314445006 + 17314445007.

It is an arithmetic number, because the mean of its divisors is an integer number (17314445007).

Almost surely, 2^34628890013 is an apocalyptic number.

It is an amenable number.

34628890013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34628890013 is an equidigital number, since it uses as much as digits as its factorization.

34628890013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 34628890013 in words is "thirty-four billion, six hundred twenty-eight million, eight hundred ninety thousand, thirteen".