5157504 has 144 divisors (see below), whose sum is σ = 16754010. Its totient is φ = 1520640.

The previous prime is 5157499. The next prime is 5157517. The reversal of 5157504 is 4057515.

5157504 is a `hidden beast` number, since 5 + 157 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 1742400 = 1848^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139374 + ... + 139410.

Almost surely, 2^5157504 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 5157504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377005).

5157504 is an abundant number, since it is smaller than the sum of its proper divisors (11596506).

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

5157504 is a wasteful number, since it uses less digits than its factorization.

5157504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 5157504 is about 2271.0138704993. The cubic root of 5157504 is about 172.7745847395.

The spelling of 5157504 in words is "five million, one hundred fifty-seven thousand, five hundred four".