532050820 has 144 divisors (see below), whose sum is σ = 1365441840. Its totient is φ = 173408256.

The previous prime is 532050817. The next prime is 532050821. The reversal of 532050820 is 28050235.

It can be written as a sum of positive squares in 8 ways, for example, as 25260676 + 506790144 = 5026^2 + 22512^2 .

It is not an unprimeable number, because it can be changed into a prime (532050821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2756644 + ... + 2756836.

It is an arithmetic number, because the mean of its divisors is an integer number (9482235).

Almost surely, 2^532050820 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 532050820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682720920).

532050820 is an abundant number, since it is smaller than the sum of its proper divisors (833391020).

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

532050820 is a wasteful number, since it uses less digits than its factorization.

532050820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 532050820 is about 23066.2268262497. The cubic root of 532050820 is about 810.3097022282.

The spelling of 532050820 in words is "five hundred thirty-two million, fifty thousand, eight hundred twenty".