61500564 has 36 divisors (see below), whose sum is σ = 158397876. Its totient is φ = 20112768.

The previous prime is 61500547. The next prime is 61500599. The reversal of 61500564 is 46500516.

It is a happy number.

61500564 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44756100 + 16744464 = 6690^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

61500564 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14209 + ... + 18024.

It is an arithmetic number, because the mean of its divisors is an integer number (4399941).

Almost surely, 2^61500564 is an apocalyptic number.

It is an amenable number.

61500564 is an abundant number, since it is smaller than the sum of its proper divisors (96897312).

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

61500564 is a wasteful number, since it uses less digits than its factorization.

61500564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32296 (or 32291 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 61500564 is about 7842.2295299232. The cubic root of 61500564 is about 394.7235452756.

Subtracting from 61500564 its product of nonzero digits (3600), we obtain a square (61496964 = 7842²).

The spelling of 61500564 in words is "sixty-one million, five hundred thousand, five hundred sixty-four".