5051252400 has 240 divisors, whose sum is σ = 16599437568. Its totient is φ = 1312640000.

The previous prime is 5051252389. The next prime is 5051252417. The reversal of 5051252400 is 42521505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8604907 + ... + 8605493.

Almost surely, 2^5051252400 is an apocalyptic number.

5051252400 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 5051252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299718784).

5051252400 is an abundant number, since it is smaller than the sum of its proper divisors (11548185168).

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

5051252400 is a wasteful number, since it uses less digits than its factorization.

5051252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 769 counting only the distinct ones).

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

The square root of 5051252400 is about 71072.1633271424. The cubic root of 5051252400 is about 1715.7987875419.

Adding to 5051252400 its reverse (42521505), we get a palindrome (5093773905).

The spelling of 5051252400 in words is "five billion, fifty-one million, two hundred fifty-two thousand, four hundred".