5205012000 has 384 divisors, whose sum is σ = 18464060160. Its totient is φ = 1277337600.

The previous prime is 5205011983. The next prime is 5205012023. The reversal of 5205012000 is 2105025.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 8435692 + ... + 8436308.

It is an arithmetic number, because the mean of its divisors is an integer number (48083490).

Almost surely, 2^5205012000 is an apocalyptic number.

5205012000 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 5205012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9232030080).

5205012000 is an abundant number, since it is smaller than the sum of its proper divisors (13259048160).

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

5205012000 is a wasteful number, since it uses less digits than its factorization.

5205012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5205012000 is about 72145.7691067189. The cubic root of 5205012000 is about 1733.0346461007.

Adding to 5205012000 its reverse (2105025), we get a palindrome (5207117025).

The spelling of 5205012000 in words is "five billion, two hundred five million, twelve thousand".