5271504 has 80 divisors (see below), whose sum is σ = 16129920. Its totient is φ = 1451520.

The previous prime is 5271491. The next prime is 5271509. The reversal of 5271504 is 4051725.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5271509) 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 15 ways as a sum of consecutive naturals, for example, 9474 + ... + 10014.

It is an arithmetic number, because the mean of its divisors is an integer number (201624).

Almost surely, 2^5271504 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 5271504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064960).

5271504 is an abundant number, since it is smaller than the sum of its proper divisors (10858416).

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

5271504 is a wasteful number, since it uses less digits than its factorization.

5271504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 5271504 is about 2295.9756096265. The cubic root of 5271504 is about 174.0383057427.

It can be divided in two parts, 5271 and 504, that added together give a palindrome (5775).

The spelling of 5271504 in words is "five million, two hundred seventy-one thousand, five hundred four".