5207312400 has 120 divisors (see below), whose sum is σ = 16710329280. Its totient is φ = 1386155520.

The previous prime is 5207312399. The next prime is 5207312419. The reversal of 5207312400 is 42137025.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5207312400² = 54232204862387520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732061 + ... + 739139.

It is an arithmetic number, because the mean of its divisors is an integer number (139252744).

Almost surely, 2^5207312400 is an apocalyptic number.

5207312400 is a gapful number since it is divisible by the number (50) 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 5207312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8355164640).

5207312400 is an abundant number, since it is smaller than the sum of its proper divisors (11503016880).

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

5207312400 is a wasteful number, since it uses less digits than its factorization.

5207312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7713 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5207312400 is about 72161.7100684289. The cubic root of 5207312400 is about 1733.2899183735.

Adding to 5207312400 its reverse (42137025), we get a palindrome (5249449425).

The spelling of 5207312400 in words is "five billion, two hundred seven million, three hundred twelve thousand, four hundred".