59564961 has 12 divisors (see below), whose sum is σ = 86416980. Its totient is φ = 39535200.

The previous prime is 59564929. The next prime is 59564969. The reversal of 59564961 is 16946595.

It is a happy number.

59564961 is digitally balanced in base 2, because in such base 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 58430736 + 1134225 = 7644^2 + 1065^2 .

It is not a de Polignac number, because 59564961 - 2⁵ = 59564929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59564969) by changing a digit.

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, 12390 + ... + 16511.

It is an arithmetic number, because the mean of its divisors is an integer number (7201415).

Almost surely, 2^59564961 is an apocalyptic number.

It is an amenable number.

59564961 is a deficient number, since it is larger than the sum of its proper divisors (26852019).

59564961 is a wasteful number, since it uses less digits than its factorization.

59564961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29136 (or 29133 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 59564961 is about 7717.8339577889. The cubic root of 59564961 is about 390.5382902237.

It can be divided in two parts, 595 and 64961, that added together give a palindrome (65556).

The spelling of 59564961 in words is "fifty-nine million, five hundred sixty-four thousand, nine hundred sixty-one".