5117256 has 80 divisors (see below), whose sum is σ = 14701500. Its totient is φ = 1662336.

The previous prime is 5117207. The next prime is 5117269. The reversal of 5117256 is 6527115.

It can be written as a sum of positive squares in 2 ways, for example, as 5062500 + 54756 = 2250^2 + 234^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34270 + ... + 34418.

Almost surely, 2^5117256 is an apocalyptic number.

5117256 is the 1431-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5117256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350750).

5117256 is an abundant number, since it is smaller than the sum of its proper divisors (9584244).

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

5117256 is a wasteful number, since it uses less digits than its factorization.

5117256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 5117256 is about 2262.1352744697. The cubic root of 5117256 is about 172.3239792379.

The spelling of 5117256 in words is "five million, one hundred seventeen thousand, two hundred fifty-six".