1007115011 has 16 divisors (see below), whose sum is σ = 1201489920. Its totient is φ = 825992640.

The previous prime is 1007114971. The next prime is 1007115017. The reversal of 1007115011 is 1105117001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1007115011 - 2¹⁴ = 1007098627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007115017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6761 + ... + 45386.

It is an arithmetic number, because the mean of its divisors is an integer number (75093120).

Almost surely, 2^1007115011 is an apocalyptic number.

1007115011 is a deficient number, since it is larger than the sum of its proper divisors (194374909).

1007115011 is an equidigital number, since it uses as much as digits as its factorization.

1007115011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52274.

The product of its (nonzero) digits is 35, while the sum is 17.

The square root of 1007115011 is about 31735.0754056139. The cubic root of 1007115011 is about 1002.3660676419.

The spelling of 1007115011 in words is "one billion, seven million, one hundred fifteen thousand, eleven".