558709905961 has 9 divisors (see below), whose sum is σ = 572038236189. Its totient is φ = 545685258636.

The previous prime is 558709905931. The next prime is 558709906003. The reversal of 558709905961 is 169509907855.

The square root of 558709905961 is 747469.

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

It is not a de Polignac number, because 558709905961 - 2³¹ = 556562422313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 558709905893 and 558709905902.

It is not an unprimeable number, because it can be changed into a prime (558709905931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32132476 + ... + 32149858.

It is an arithmetic number, because the mean of its divisors is an integer number (63559804021).

Almost surely, 2^558709905961 is an apocalyptic number.

558709905961 is the 747469-th square number.

558709905961 is the 373735-th centered octagonal number.

It is an amenable number.

558709905961 is a deficient number, since it is larger than the sum of its proper divisors (13328330228).

558709905961 is an frugal number, since it uses more digits than its factorization.

558709905961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34852 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 64.

Multiplying 558709905961 by its sum of digits (64), we get a square (35757433981504 = 5979752²).

The spelling of 558709905961 in words is "five hundred fifty-eight billion, seven hundred nine million, nine hundred five thousand, nine hundred sixty-one".