652152564 has 108 divisors (see below), whose sum is σ = 1929626244. Its totient is φ = 185165568.

The previous prime is 652152539. The next prime is 652152569. The reversal of 652152564 is 465251256.

It can be written as a sum of positive squares in 2 ways, for example, as 296528400 + 355624164 = 17220^2 + 18858^2 .

It is a super-5 number, since 5×652152564⁵ (a number of 45 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652152569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 304104 + ... + 306240.

Almost surely, 2^652152564 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 652152564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964813122).

652152564 is an abundant number, since it is smaller than the sum of its proper divisors (1277473680).

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

652152564 is a wasteful number, since it uses less digits than its factorization.

652152564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2322 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 652152564 is about 25537.2779285499. The cubic root of 652152564 is about 867.1942748592.

The spelling of 652152564 in words is "six hundred fifty-two million, one hundred fifty-two thousand, five hundred sixty-four".