2583116801 has 8 divisors (see below), whose sum is σ = 2591496840. Its totient is φ = 2574747648.

The previous prime is 2583116791. The next prime is 2583116813. The reversal of 2583116801 is 1086113852.

2583116801 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 973502401 + 1609614400 = 31201^2 + 40120^2 .

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 2583116801 - 2⁶ = 2583116737 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 (2583116201) 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, 970865 + ... + 973521.

It is an arithmetic number, because the mean of its divisors is an integer number (323937105).

Almost surely, 2^2583116801 is an apocalyptic number.

It is an amenable number.

2583116801 is a deficient number, since it is larger than the sum of its proper divisors (8380039).

2583116801 is a wasteful number, since it uses less digits than its factorization.

2583116801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 2583116801 is about 50824.3721161413. The cubic root of 2583116801 is about 1372.0860473605.

The spelling of 2583116801 in words is "two billion, five hundred eighty-three million, one hundred sixteen thousand, eight hundred one".