5157000 has 128 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 1368000.

The previous prime is 5156993. The next prime is 5157007. The reversal of 5157000 is 7515.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5156993) and next prime (5157007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5157007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26905 + ... + 27095.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 2^5157000 is an apocalyptic number.

5157000 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 5157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

5157000 is an abundant number, since it is smaller than the sum of its proper divisors (12814200).

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

5157000 is a wasteful number, since it uses less digits than its factorization.

5157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 5157000 is about 2270.9029041331. The cubic root of 5157000 is about 172.7689566148.

The spelling of 5157000 in words is "five million, one hundred fifty-seven thousand".