5107057000 has 64 divisors (see below), whose sum is σ = 11968819200. Its totient is φ = 2039694400.

The previous prime is 5107056971. The next prime is 5107057001. The reversal of 5107057000 is 7507015.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5107057001) 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 15 ways as a sum of consecutive naturals, for example, 715449 + ... + 722551.

It is an arithmetic number, because the mean of its divisors is an integer number (187012800).

Almost surely, 2^5107057000 is an apocalyptic number.

5107057000 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 5107057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984409600).

5107057000 is an abundant number, since it is smaller than the sum of its proper divisors (6861762200).

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

5107057000 is a wasteful number, since it uses less digits than its factorization.

5107057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 25.

The square root of 5107057000 is about 71463.6760879260. The cubic root of 5107057000 is about 1722.0941906595.

The spelling of 5107057000 in words is "five billion, one hundred seven million, fifty-seven thousand".