52650 has 60 divisors (see below), whose sum is σ = 157542. Its totient is φ = 12960.

The previous prime is 52639. The next prime is 52667. The reversal of 52650 is 5625.

52650 = T₅₂ + T₅₃ + ... + T₇₆.

52650 is a nontrivial binomial coefficient, being equal to C(325, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 29241 + 23409 = 171^2 + 153^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52650.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4044 + ... + 4056.

2⁵²⁶⁵⁰ is an apocalyptic number.

52650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52650 is the 324-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78771).

52650 is an abundant number, since it is smaller than the sum of its proper divisors (104892).

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

52650 is a wasteful number, since it uses less digits than its factorization.

52650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52650 is about 229.4558781117. The cubic root of 52650 is about 37.4799893238.

It can be divided in two parts, 526 and 50, that added together give a square (576 = 24²).

The spelling of 52650 in words is "fifty-two thousand, six hundred fifty".