501956 has 36 divisors (see below), whose sum is σ = 1106028. Its totient is φ = 197568.

The previous prime is 501953. The next prime is 501967. The reversal of 501956 is 659105.

501956 = 13⁴ + 14⁴ + ... + 19⁴.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 188356 = 560^2 + 434^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (501953) 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, 2450 + ... + 2646.

It is an arithmetic number, because the mean of its divisors is an integer number (30723).

2⁵⁰¹⁹⁵⁶ 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 501956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553014).

501956 is an abundant number, since it is smaller than the sum of its proper divisors (604072).

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

501956 is a wasteful number, since it uses less digits than its factorization.

501956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 501956 is about 708.4885320173. The cubic root of 501956 is about 79.4734164774.

501956 divided by its sum of digits (26) gives a triangular number (19306 = T₁₉₆).

The spelling of 501956 in words is "five hundred one thousand, nine hundred fifty-six".