5005152 has 60 divisors (see below), whose sum is σ = 14727636. Its totient is φ = 1667520.

The previous prime is 5005141. The next prime is 5005159. The reversal of 5005152 is 2515005.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1627 + ... + 3557.

Almost surely, 2^5005152 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 5005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363818).

5005152 is an abundant number, since it is smaller than the sum of its proper divisors (9722484).

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

5005152 is a wasteful number, since it uses less digits than its factorization.

5005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 5005152 is about 2237.2197031137. The cubic root of 5005152 is about 171.0563064806.

The spelling of 5005152 in words is "five million, five thousand, one hundred fifty-two".