4131726500061 has 6 divisors (see below), whose sum is σ = 5968049388990. Its totient is φ = 2754484333368.

The previous prime is 4131726500039. The next prime is 4131726500087. The reversal of 4131726500061 is 1600056271314.

4131726500061 is a `hidden beast` number, since 41 + 31 + 7 + 26 + 500 + 0 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4048908596100 + 82817903961 = 2012190^2 + 287781^2 .

It is not a de Polignac number, because 4131726500061 - 2³¹ = 4129579016413 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4131726499989 and 4131726500025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131726500261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 229540361106 + ... + 229540361123.

It is an arithmetic number, because the mean of its divisors is an integer number (994674898165).

Almost surely, 2^{4131726500061} is an apocalyptic number.

It is an amenable number.

4131726500061 is a deficient number, since it is larger than the sum of its proper divisors (1836322888929).

4131726500061 is a wasteful number, since it uses less digits than its factorization.

4131726500061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459080722235 (or 459080722232 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 4131726500061 in words is "four trillion, one hundred thirty-one billion, seven hundred twenty-six million, five hundred thousand, sixty-one".