2005745683075 has 12 divisors (see below), whose sum is σ = 2493205649080. Its totient is φ = 1600673319360.

The previous prime is 2005745682991. The next prime is 2005745683087. The reversal of 2005745683075 is 5703865475002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2005745683075 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, 98070249 + ... + 98090698.

Almost surely, 2^{2005745683075} is an apocalyptic number.

2005745683075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2005745683075 is a deficient number, since it is larger than the sum of its proper divisors (487459966005).

2005745683075 is a wasteful number, since it uses less digits than its factorization.

2005745683075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196161366 (or 196161361 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 52.

The spelling of 2005745683075 in words is "two trillion, five billion, seven hundred forty-five million, six hundred eighty-three thousand, seventy-five".