2511100001085 has 32 divisors (see below), whose sum is σ = 4327579337088. Its totient is φ = 1236016454400.

The previous prime is 2511100001041. The next prime is 2511100001147. The reversal of 2511100001085 is 5801000011152.

2511100001085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2511100001085 - 2⁶ = 2511100001021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17707 + ... + 2241096.

It is an arithmetic number, because the mean of its divisors is an integer number (135236854284).

Almost surely, 2^{2511100001085} is an apocalyptic number.

It is an amenable number.

2511100001085 is a deficient number, since it is larger than the sum of its proper divisors (1816479336003).

2511100001085 is a wasteful number, since it uses less digits than its factorization.

2511100001085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264525.

The product of its (nonzero) digits is 400, while the sum is 24.

The spelling of 2511100001085 in words is "two trillion, five hundred eleven billion, one hundred million, one thousand, eighty-five".