5217520 has 120 divisors (see below), whose sum is σ = 15521328. Its totient is φ = 1626240.

The previous prime is 5217493. The next prime is 5217523. The reversal of 5217520 is 257125.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5217491 and 5217500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474315 + ... + 474325.

Almost surely, 2^5217520 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 5217520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760664).

5217520 is an abundant number, since it is smaller than the sum of its proper divisors (10303808).

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

5217520 is a wasteful number, since it uses less digits than its factorization.

5217520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 5217520 is about 2284.1891340255. The cubic root of 5217520 is about 173.4421735883.

Multiplying 5217520 by its product of nonzero digits (700), we get a cube (3652264000 = 1540³).

The spelling of 5217520 in words is "five million, two hundred seventeen thousand, five hundred twenty".