5205407000 has 32 divisors (see below), whose sum is σ = 12180654720. Its totient is φ = 2082162400.

The previous prime is 5205406993. The next prime is 5205407017. The reversal of 5205407000 is 7045025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2601704 + ... + 2603703.

It is an arithmetic number, because the mean of its divisors is an integer number (380645460).

Almost surely, 2^5205407000 is an apocalyptic number.

5205407000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5205407000 is an abundant number, since it is smaller than the sum of its proper divisors (6975247720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5205407000 is a wasteful number, since it uses less digits than its factorization.

5205407000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205428 (or 5205414 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 5205407000 is about 72148.5065680503. The cubic root of 5205407000 is about 1733.0784840636.

The spelling of 5205407000 in words is "five billion, two hundred five million, four hundred seven thousand".