5257380600 has 192 divisors, whose sum is σ = 18297266400. Its totient is φ = 1387376640.

The previous prime is 5257380533. The next prime is 5257380629. The reversal of 5257380600 is 60837525.

5257380600 is a `hidden beast` number, since 5 + 2 + 573 + 80 + 6 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518782 + ... + 528818.

Almost surely, 2^5257380600 is an apocalyptic number.

5257380600 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 5257380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148633200).

5257380600 is an abundant number, since it is smaller than the sum of its proper divisors (13039885800).

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

5257380600 is a wasteful number, since it uses less digits than its factorization.

5257380600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5257380600 is about 72507.7968221349. The cubic root of 5257380600 is about 1738.8273906776.

The spelling of 5257380600 in words is "five billion, two hundred fifty-seven million, three hundred eighty thousand, six hundred".