652512 has 48 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 186240.

The previous prime is 652507. The next prime is 652541. The reversal of 652512 is 215256.

652512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 652512.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (40824).

2⁶⁵²⁵¹² 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 652512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776).

652512 is an abundant number, since it is smaller than the sum of its proper divisors (1307040).

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

652512 is a wasteful number, since it uses less digits than its factorization.

652512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 652512 is about 807.7821488496. The cubic root of 652512 is about 86.7353564577.

Adding to 652512 its reverse (215256), we get a palindrome (867768).

The spelling of 652512 in words is "six hundred fifty-two thousand, five hundred twelve".