5207709312 has 288 divisors, whose sum is σ = 16947234720. Its totient is φ = 1531385856.

The previous prime is 5207709277. The next prime is 5207709319. The reversal of 5207709312 is 2139077025.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5207709319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4477243 + ... + 4478405.

It is an arithmetic number, because the mean of its divisors is an integer number (58844565).

Almost surely, 2^5207709312 is an apocalyptic number.

5207709312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5207709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473617360).

5207709312 is an abundant number, since it is smaller than the sum of its proper divisors (11739525408).

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

5207709312 is a wasteful number, since it uses less digits than its factorization.

5207709312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5207709312 is about 72164.4601725808. The cubic root of 5207709312 is about 1733.3339555553. Note that the first 3 decimals are identical.

The spelling of 5207709312 in words is "five billion, two hundred seven million, seven hundred nine thousand, three hundred twelve".