2506085675 has 24 divisors (see below), whose sum is σ = 3145995072. Its totient is φ = 1980212000.

The previous prime is 2506085669. The next prime is 2506085689. The reversal of 2506085675 is 5765806052.

It is not a de Polignac number, because 2506085675 - 2⁶ = 2506085611 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 741740 + ... + 745110.

It is an arithmetic number, because the mean of its divisors is an integer number (131083128).

Almost surely, 2^2506085675 is an apocalyptic number.

2506085675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2506085675 is a deficient number, since it is larger than the sum of its proper divisors (639909397).

2506085675 is a wasteful number, since it uses less digits than its factorization.

2506085675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The square root of 2506085675 is about 50060.8197595685. The cubic root of 2506085675 is about 1358.3091868023.

The spelling of 2506085675 in words is "two billion, five hundred six million, eighty-five thousand, six hundred seventy-five".