652500 has 90 divisors (see below), whose sum is σ = 2132130. Its totient is φ = 168000.

The previous prime is 652499. The next prime is 652507. The reversal of 652500 is 5256.

It can be written as a sum of positive squares in 5 ways, for example, as 248004 + 404496 = 498^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22486 + ... + 22514.

2⁶⁵²⁵⁰⁰ is an apocalyptic number.

652500 is a gapful number since it is divisible by the number (60) 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 652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066065).

652500 is an abundant number, since it is smaller than the sum of its proper divisors (1479630).

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

652500 is a wasteful number, since it uses less digits than its factorization.

652500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 39 counting only the distinct ones).

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

The square root of 652500 is about 807.7747210702. The cubic root of 652500 is about 86.7348247532.

Adding to 652500 its reverse (5256), we get a palindrome (657756).

The spelling of 652500 in words is "six hundred fifty-two thousand, five hundred".