2585100101075 has 12 divisors (see below), whose sum is σ = 3205544244240. Its totient is φ = 2068067100960.

The previous prime is 2585100101033. The next prime is 2585100101099. The reversal of 2585100101075 is 5701010015852.

It is not a de Polignac number, because 2585100101075 - 2¹⁴ = 2585100084691 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6840161 + ... + 7208189.

It is an arithmetic number, because the mean of its divisors is an integer number (267128687020).

Almost surely, 2^{2585100101075} is an apocalyptic number.

2585100101075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2585100101075 is a deficient number, since it is larger than the sum of its proper divisors (620444143165).

2585100101075 is a wasteful number, since it uses less digits than its factorization.

2585100101075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649006 (or 649001 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 35.

The spelling of 2585100101075 in words is "two trillion, five hundred eighty-five billion, one hundred million, one hundred one thousand, seventy-five".