1006045635 has 64 divisors (see below), whose sum is σ = 2010783744. Its totient is φ = 418867200.

The previous prime is 1006045627. The next prime is 1006045637. The reversal of 1006045635 is 5365406001.

It is not a de Polignac number, because 1006045635 - 2³ = 1006045627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006045637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46245 + ... + 64425.

It is an arithmetic number, because the mean of its divisors is an integer number (31418496).

Almost surely, 2^1006045635 is an apocalyptic number.

1006045635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1006045635 is a deficient number, since it is larger than the sum of its proper divisors (1004738109).

1006045635 is a wasteful number, since it uses less digits than its factorization.

1006045635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18244.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1006045635 is about 31718.2224438886. Note that the first 3 decimals coincide. The cubic root of 1006045635 is about 1002.0111641738.

The spelling of 1006045635 in words is "one billion, six million, forty-five thousand, six hundred thirty-five".