5042041211601 has 27 divisors (see below), whose sum is σ = 7303586191291. Its totient is φ = 3351862558464.

The previous prime is 5042041211563. The next prime is 5042041211621. The reversal of 5042041211601 is 1061121402405.

The square root of 5042041211601 is 2245449.

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

5042041211601 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 0 + 41 + 2 + 11 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3081257133201 + 1960784078400 = 1755351^2 + 1400280^2 .

It is not a de Polignac number, because 5042041211601 - 2⁹ = 5042041211089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5042041211621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3024618970 + ... + 3024620636.

Almost surely, 2^{5042041211601} is an apocalyptic number.

5042041211601 is the 2245449-th square number.

5042041211601 is the 1122725-th centered octagonal number.

It is an amenable number.

5042041211601 is a deficient number, since it is larger than the sum of its proper divisors (2261544979690).

5042041211601 is an frugal number, since it uses more digits than its factorization.

5042041211601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 5042041211601 in words is "five trillion, forty-two billion, forty-one million, two hundred eleven thousand, six hundred one".