58120048561 has 5 divisors (see below), whose sum is σ = 58238660905. Its totient is φ = 58001677790.

The previous prime is 58120048549. The next prime is 58120048589. The reversal of 58120048561 is 16584002185.

It is a happy number.

The square root of 58120048561 is 241081.

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

58120048561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58120048561 - 2⁵ = 58120048529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58120048361) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 118370526 + ... + 118371016.

It is an arithmetic number, because the mean of its divisors is an integer number (11647732181).

Almost surely, 2^58120048561 is an apocalyptic number.

58120048561 is the 241081-st square number.

58120048561 is the 120541-st centered octagonal number.

It is an amenable number.

58120048561 is a deficient number, since it is larger than the sum of its proper divisors (118612344).

58120048561 is an frugal number, since it uses more digits than its factorization.

58120048561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 58120048561 in words is "fifty-eight billion, one hundred twenty million, forty-eight thousand, five hundred sixty-one".