5131008 has 108 divisors (see below), whose sum is σ = 15783768. Its totient is φ = 1597440.

The previous prime is 5130997. The next prime is 5131013. The reversal of 5131008 is 8001315.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39103 + ... + 39233.

It is an arithmetic number, because the mean of its divisors is an integer number (146146).

Almost surely, 2^5131008 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 5131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891884).

5131008 is an abundant number, since it is smaller than the sum of its proper divisors (10652760).

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

5131008 is a wasteful number, since it uses less digits than its factorization.

5131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5131008 is about 2265.1728410874. The cubic root of 5131008 is about 172.4782077070.

It can be divided in two parts, 513 and 1008, that added together give a square (1521 = 39²).

The spelling of 5131008 in words is "five million, one hundred thirty-one thousand, eight".