5038668305 has 64 divisors (see below), whose sum is σ = 7032614400. Its totient is φ = 3429888000.

The previous prime is 5038668287. The next prime is 5038668343.

5038668305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5038668305 - 2¹⁴ = 5038651921 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14437271 + ... + 14437619.

It is an arithmetic number, because the mean of its divisors is an integer number (109884600).

Almost surely, 2^5038668305 is an apocalyptic number.

5038668305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5038668305 is a deficient number, since it is larger than the sum of its proper divisors (1993946095).

5038668305 is a wasteful number, since it uses less digits than its factorization.

5038668305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602.

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 5038668305 is about 70983.5777134402. The cubic root of 5038668305 is about 1714.3727563658.

The spelling of 5038668305 in words is "five billion, thirty-eight million, six hundred sixty-eight thousand, three hundred five".