5117952 has 144 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 1376256.

The previous prime is 5117947. The next prime is 5117953. The reversal of 5117952 is 2597115.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301048 + ... + 301064.

Almost surely, 2^5117952 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 5117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

5117952 is an abundant number, since it is smaller than the sum of its proper divisors (11687928).

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

5117952 is a wasteful number, since it uses less digits than its factorization.

5117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its digits is 3150, while the sum is 30.

The square root of 5117952 is about 2262.2891061931. The cubic root of 5117952 is about 172.3317915011.

The spelling of 5117952 in words is "five million, one hundred seventeen thousand, nine hundred fifty-two".