2583117825 has 24 divisors (see below), whose sum is σ = 4277497056. Its totient is φ = 1375488000.

The previous prime is 2583117767. The next prime is 2583117847. The reversal of 2583117825 is 5287113852.

It is not a de Polignac number, because 2583117825 - 2¹⁴ = 2583101441 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21210 + ... + 74940.

It is an arithmetic number, because the mean of its divisors is an integer number (178229044).

Almost surely, 2^2583117825 is an apocalyptic number.

2583117825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2583117825 is a deficient number, since it is larger than the sum of its proper divisors (1694379231).

2583117825 is a wasteful number, since it uses less digits than its factorization.

2583117825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54385 (or 54380 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 2583117825 is about 50824.3821900473. The cubic root of 2583117825 is about 1372.0862286681.

The spelling of 2583117825 in words is "two billion, five hundred eighty-three million, one hundred seventeen thousand, eight hundred twenty-five".