2583724068101 has 4 divisors (see below), whose sum is σ = 2818608074304. Its totient is φ = 2348840061900.

The previous prime is 2583724068061. The next prime is 2583724068139. The reversal of 2583724068101 is 1018604273852.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2583724068101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583724068161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117442003085 + ... + 117442003106.

It is an arithmetic number, because the mean of its divisors is an integer number (704652018576).

Almost surely, 2^{2583724068101} is an apocalyptic number.

It is an amenable number.

2583724068101 is a deficient number, since it is larger than the sum of its proper divisors (234884006203).

2583724068101 is a wasteful number, since it uses less digits than its factorization.

2583724068101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234884006202.

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 2583724068101 in words is "two trillion, five hundred eighty-three billion, seven hundred twenty-four million, sixty-eight thousand, one hundred one".