5257589064 has 256 divisors, whose sum is σ = 16758336000. Its totient is φ = 1365590016.

The previous prime is 5257589033. The next prime is 5257589087. The reversal of 5257589064 is 4609857525.

It is a junction number, because it is equal to n+sod(n) for n = 5257588998 and 5257589016.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7811832 + ... + 7812504.

It is an arithmetic number, because the mean of its divisors is an integer number (65462250).

Almost surely, 2^5257589064 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 5257589064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379168000).

5257589064 is an abundant number, since it is smaller than the sum of its proper divisors (11500746936).

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

5257589064 is a wasteful number, since it uses less digits than its factorization.

5257589064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The square root of 5257589064 is about 72509.2343360485. The cubic root of 5257589064 is about 1738.8503728525.

The spelling of 5257589064 in words is "five billion, two hundred fifty-seven million, five hundred eighty-nine thousand, sixty-four".