5314034304135 has 96 divisors (see below), whose sum is σ = 9648045613440. Its totient is φ = 2700623084544.

The previous prime is 5314034304127. The next prime is 5314034304149.

5314034304135 is a `hidden beast` number, since 5 + 314 + 0 + 3 + 4 + 304 + 1 + 35 = 666.

5314034304135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5314034304135 - 2³ = 5314034304127 is a prime.

It is a super-3 number, since 3×5314034304135³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5314034304135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615830001 + ... + 615838629.

It is an arithmetic number, because the mean of its divisors is an integer number (100500475140).

Almost surely, 2^{5314034304135} is an apocalyptic number.

5314034304135 is a deficient number, since it is larger than the sum of its proper divisors (4334011309305).

5314034304135 is a wasteful number, since it uses less digits than its factorization.

5314034304135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 5314034304135 in words is "five trillion, three hundred fourteen billion, thirty-four million, three hundred four thousand, one hundred thirty-five".