5013000 has 96 divisors (see below), whose sum is σ = 16974360. Its totient is φ = 1334400.

The previous prime is 5012999. The next prime is 5013023. The reversal of 5013000 is 3105.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 4485924 = 726^2 + 2118^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8722 + ... + 9278.

Almost surely, 2^5013000 is an apocalyptic number.

5013000 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 5013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487180).

5013000 is an abundant number, since it is smaller than the sum of its proper divisors (11961360).

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

5013000 is a wasteful number, since it uses less digits than its factorization.

5013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 5013000 is about 2238.9729788454. The cubic root of 5013000 is about 171.1456643301.

Adding to 5013000 its reverse (3105), we get a palindrome (5016105).

The spelling of 5013000 in words is "five million, thirteen thousand".