5152405200 has 120 divisors (see below), whose sum is σ = 16591134528. Its totient is φ = 1366794240.

The previous prime is 5152405171. The next prime is 5152405217. The reversal of 5152405200 is 25042515.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220477 + ... + 242723.

Almost surely, 2^5152405200 is an apocalyptic number.

5152405200 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 5152405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295567264).

5152405200 is an abundant number, since it is smaller than the sum of its proper divisors (11438729328).

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

5152405200 is a wasteful number, since it uses less digits than its factorization.

5152405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22461 (or 22450 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 5152405200 is about 71780.2563383553. The cubic root of 5152405200 is about 1727.1762995946.

Adding to 5152405200 its reverse (25042515), we get a palindrome (5177447715).

The spelling of 5152405200 in words is "five billion, one hundred fifty-two million, four hundred five thousand, two hundred".