5075137600 has 189 divisors, whose sum is σ = 13621945197. Its totient is φ = 1860218880.

The previous prime is 5075137583. The next prime is 5075137601. The reversal of 5075137600 is 67315705.

The square root of 5075137600 is 71240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4508316736 + 566820864 = 67144^2 + 23808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5075137601) 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 26 ways as a sum of consecutive naturals, for example, 37044732 + ... + 37044868.

Almost surely, 2^5075137600 is an apocalyptic number.

5075137600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5075137600 is the 71240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5075137600

5075137600 is an abundant number, since it is smaller than the sum of its proper divisors (8546807597).

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

5075137600 is a wasteful number, since it uses less digits than its factorization.

5075137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 34.

The cubic root of 5075137600 is about 1718.4989608449.

The spelling of 5075137600 in words is "five billion, seventy-five million, one hundred thirty-seven thousand, six hundred".