1005145011 has 64 divisors (see below), whose sum is σ = 1761715200. Its totient is φ = 560431872.

The previous prime is 1005145003. The next prime is 1005145021. The reversal of 1005145011 is 1105415001.

It is a happy number.

1005145011 is a `hidden beast` number, since 100 + 514 + 50 + 1 + 1 = 666.

It is not a de Polignac number, because 1005145011 - 2³ = 1005145003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005145021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 150111 + ... + 156663.

It is an arithmetic number, because the mean of its divisors is an integer number (27526800).

Almost surely, 2^1005145011 is an apocalyptic number.

1005145011 is a deficient number, since it is larger than the sum of its proper divisors (756570189).

1005145011 is a wasteful number, since it uses less digits than its factorization.

1005145011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1005145011 is about 31704.0220003709. The cubic root of 1005145011 is about 1001.7120708074.

The spelling of 1005145011 in words is "one billion, five million, one hundred forty-five thousand, eleven".