5152492800 has 648 divisors, whose sum is σ = 22695464064. Its totient is φ = 1086013440.

The previous prime is 5152492777. The next prime is 5152492801. The reversal of 5152492800 is 82942515.

5152492800 is a `hidden beast` number, since 51 + 524 + 9 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5152492801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241109 + ... + 5242091.

Almost surely, 2^5152492800 is an apocalyptic number.

5152492800 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 5152492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347732032).

5152492800 is an abundant number, since it is smaller than the sum of its proper divisors (17542971264).

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

5152492800 is a wasteful number, since it uses less digits than its factorization.

5152492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5152492800 is about 71780.8665314093. The cubic root of 5152492800 is about 1727.1860878896.

The spelling of 5152492800 in words is "five billion, one hundred fifty-two million, four hundred ninety-two thousand, eight hundred".