505626 has 32 divisors (see below), whose sum is σ = 1133568. Its totient is φ = 149040.

The previous prime is 505619. The next prime is 505633. The reversal of 505626 is 626505.

It is an interprime number because it is at equal distance from previous prime (505619) and next prime (505633).

It is a junction number, because it is equal to n+sod(n) for n = 505596 and 505605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3021 + ... + 3183.

It is an arithmetic number, because the mean of its divisors is an integer number (35424).

2⁵⁰⁵⁶²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566784).

505626 is an abundant number, since it is smaller than the sum of its proper divisors (627942).

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

505626 is a wasteful number, since it uses less digits than its factorization.

505626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 505626 is about 711.0738358286. The cubic root of 505626 is about 79.6666335984. Note that the first 4 decimals are identical.

The spelling of 505626 in words is "five hundred five thousand, six hundred twenty-six".