5206400319 has 8 divisors (see below), whose sum is σ = 6968879280. Its totient is φ = 3457427456.

The previous prime is 5206400299. The next prime is 5206400323. The reversal of 5206400319 is 9130046025.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5206400319 - 2⁷ = 5206400191 is a prime.

It is a super-2 number, since 2×5206400319² = 54213208563366603522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206400389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3375624 + ... + 3377165.

It is an arithmetic number, because the mean of its divisors is an integer number (871109910).

Almost surely, 2^5206400319 is an apocalyptic number.

5206400319 is a deficient number, since it is larger than the sum of its proper divisors (1762478961).

5206400319 is a wasteful number, since it uses less digits than its factorization.

5206400319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753049.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5206400319 is about 72155.3900897223. The cubic root of 5206400319 is about 1733.1887149765.

The spelling of 5206400319 in words is "five billion, two hundred six million, four hundred thousand, three hundred nineteen".