42116500561 has 8 divisors (see below), whose sum is σ = 43249235400. Its totient is φ = 40988789760.

The previous prime is 42116500549. The next prime is 42116500607. The reversal of 42116500561 is 16500561124.

42116500561 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 4 ways, for example, as 2128899600 + 39987600961 = 46140^2 + 199969^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42116500561 - 2²³ = 42108111953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42116500541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239016 + ... + 1272553.

It is an arithmetic number, because the mean of its divisors is an integer number (5406154425).

Almost surely, 2^42116500561 is an apocalyptic number.

42116500561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42116500561 is a deficient number, since it is larger than the sum of its proper divisors (1132734839).

42116500561 is a wasteful number, since it uses less digits than its factorization.

42116500561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512019.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 42116500561 in words is "forty-two billion, one hundred sixteen million, five hundred thousand, five hundred sixty-one".