52565000 has 40 divisors (see below), whose sum is σ = 123171510. Its totient is φ = 21024000.

The previous prime is 52564999. The next prime is 52565017. The reversal of 52565000 is 56525.

It can be written as a sum of positive squares in 5 ways, for example, as 3928324 + 48636676 = 1982^2 + 6974^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 257 + ... + 10256.

Almost surely, 2^52565000 is an apocalyptic number.

52565000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61585755).

52565000 is an abundant number, since it is smaller than the sum of its proper divisors (70606510).

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

52565000 is a wasteful number, since it uses less digits than its factorization.

52565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10539 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 52565000 is about 7250.1724117430. The cubic root of 52565000 is about 374.5980879169.

The spelling of 52565000 in words is "fifty-two million, five hundred sixty-five thousand".