5157250560 has 1600 divisors, whose sum is σ = 25667642880. Its totient is φ = 955514880.

The previous prime is 5157250523. The next prime is 5157250561. The reversal of 5157250560 is 650527515.

It is a happy number.

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 (5157250561) 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 159 ways as a sum of consecutive naturals, for example, 271434231 + ... + 271434249.

Almost surely, 2^5157250560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5157250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833821440).

5157250560 is an abundant number, since it is smaller than the sum of its proper divisors (20510392320).

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

5157250560 is a wasteful number, since it uses less digits than its factorization.

5157250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 5157250560 is about 71813.9997493525. Note that the first 3 decimals coincide. The cubic root of 5157250560 is about 1727.7175464261.

Adding to 5157250560 its sum of digits (36), we get a square (5157250596 = 71814²).

The spelling of 5157250560 in words is "five billion, one hundred fifty-seven million, two hundred fifty thousand, five hundred sixty".