1005105011 has 8 divisors (see below), whose sum is σ = 1027269120. Its totient is φ = 982973448.

The previous prime is 1005104977. The next prime is 1005105067. The reversal of 1005105011 is 1105015001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005105011 - 2¹⁰ = 1005103987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005105811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60620 + ... + 75398.

It is an arithmetic number, because the mean of its divisors is an integer number (128408640).

Almost surely, 2^1005105011 is an apocalyptic number.

1005105011 is a deficient number, since it is larger than the sum of its proper divisors (22164109).

1005105011 is a wasteful number, since it uses less digits than its factorization.

1005105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16273.

The product of its (nonzero) digits is 25, while the sum is 14.

The square root of 1005105011 is about 31703.3911593066. The cubic root of 1005105011 is about 1001.6987828361.

The spelling of 1005105011 in words is "one billion, five million, one hundred five thousand, eleven".