58813561 has 3 divisors (see below), whose sum is σ = 58821231. Its totient is φ = 58805892.

The previous prime is 58813549. The next prime is 58813583. The reversal of 58813561 is 16531885.

The square root of 58813561 is 7669.

It is a perfect power (a square), and thus also a powerful number.

58813561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 55785961 + 3027600 = 7469^2 + 1740^2 .

It is not a de Polignac number, because 58813561 - 2⁹ = 58813049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58813561.

It is not an unprimeable number, because it can be changed into a prime (58813361) 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 2 ways as a sum of consecutive naturals, for example, 3835 + ... + 11503.

It is an arithmetic number, because the mean of its divisors is an integer number (19607077).

Almost surely, 2^58813561 is an apocalyptic number.

58813561 is the 7669-th square number.

58813561 is the 3835-th centered octagonal number.

It is an amenable number.

58813561 is a deficient number, since it is larger than the sum of its proper divisors (7670).

58813561 is an frugal number, since it uses more digits than its factorization.

58813561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15338 (or 7669 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The cubic root of 58813561 is about 388.8891488101.

The spelling of 58813561 in words is "fifty-eight million, eight hundred thirteen thousand, five hundred sixty-one".