5101435200 has 168 divisors, whose sum is σ = 16973824320. Its totient is φ = 1341132800.

The previous prime is 5101435169. The next prime is 5101435201. The reversal of 5101435200 is 25341015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101435201) by changing a digit.

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, 333316 + ... + 348284.

Almost surely, 2^5101435200 is an apocalyptic number.

5101435200 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 5101435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486912160).

5101435200 is an abundant number, since it is smaller than the sum of its proper divisors (11872389120).

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

5101435200 is a wasteful number, since it uses less digits than its factorization.

5101435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15065 (or 15050 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5101435200 is about 71424.3319884757. The cubic root of 5101435200 is about 1721.4620703311.

Adding to 5101435200 its reverse (25341015), we get a palindrome (5126776215).

The spelling of 5101435200 in words is "five billion, one hundred one million, four hundred thirty-five thousand, two hundred".