34519316013 has 144 divisors (see below), whose sum is σ = 65992582656. Its totient is φ = 17207043840.

The previous prime is 34519316011. The next prime is 34519316053. The reversal of 34519316013 is 31061391543.

It is a happy number.

34519316013 is a `hidden beast` number, since 3 + 4 + 5 + 19 + 31 + 601 + 3 = 666.

It is not a de Polignac number, because 34519316013 - 2¹ = 34519316011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34519316011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7639831 + ... + 7644347.

It is an arithmetic number, because the mean of its divisors is an integer number (458281824).

Almost surely, 2^34519316013 is an apocalyptic number.

It is an amenable number.

34519316013 is a deficient number, since it is larger than the sum of its proper divisors (31473266643).

34519316013 is a wasteful number, since it uses less digits than its factorization.

34519316013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 34519316013 in words is "thirty-four billion, five hundred nineteen million, three hundred sixteen thousand, thirteen".