61352564 has 48 divisors (see below), whose sum is σ = 135399936. Its totient is φ = 23673600.

The previous prime is 61352563. The next prime is 61352567. The reversal of 61352564 is 46525316.

It is a self number, because there is not a number n which added to its sum of digits gives 61352564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61352561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12869 + ... + 16979.

It is an arithmetic number, because the mean of its divisors is an integer number (2820832).

Almost surely, 2^61352564 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 61352564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67699968).

61352564 is an abundant number, since it is smaller than the sum of its proper divisors (74047372).

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

61352564 is a wasteful number, since it uses less digits than its factorization.

61352564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4174 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 61352564 is about 7832.7877540503. The cubic root of 61352564 is about 394.4066592443.

It can be divided in two parts, 61352 and 564, that added together give a palindrome (61916).

The spelling of 61352564 in words is "sixty-one million, three hundred fifty-two thousand, five hundred sixty-four".