1005055007 has 16 divisors (see below), whose sum is σ = 1114812672. Its totient is φ = 898413120.

The previous prime is 1005054949. The next prime is 1005055033. The reversal of 1005055007 is 7005505001.

It is not a de Polignac number, because 1005055007 - 2¹⁰ = 1005053983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005055067) 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, 605723 + ... + 607379.

It is an arithmetic number, because the mean of its divisors is an integer number (69675792).

Almost surely, 2^1005055007 is an apocalyptic number.

1005055007 is a deficient number, since it is larger than the sum of its proper divisors (109757665).

1005055007 is a wasteful number, since it uses less digits than its factorization.

1005055007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558.

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 1005055007 is about 31702.6025272374. The cubic root of 1005055007 is about 1001.6821710472.

The spelling of 1005055007 in words is "one billion, five million, fifty-five thousand, seven".