1005060001 has 12 divisors (see below), whose sum is σ = 1117160100. Its totient is φ = 903415040.

The previous prime is 1005059987. The next prime is 1005060029. The reversal of 1005060001 is 1000605001.

It can be written as a sum of positive squares in 2 ways, for example, as 223801600 + 781258401 = 14960^2 + 27951^2 .

It is not a de Polignac number, because 1005060001 - 2⁵ = 1005059969 is a prime.

It is a super-2 number, since 2×1005060001² = 2020291211220240002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005060061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35896 + ... + 57433.

It is an arithmetic number, because the mean of its divisors is an integer number (93096675).

Almost surely, 2^1005060001 is an apocalyptic number.

1005060001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005060001 is a deficient number, since it is larger than the sum of its proper divisors (112100099).

1005060001 is an equidigital number, since it uses as much as digits as its factorization.

1005060001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93440 (or 93429 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1005060001 is about 31702.6812903893. The cubic root of 1005060001 is about 1001.6838301247.

Adding to 1005060001 its reverse (1000605001), we get a palindrome (2005665002).

The spelling of 1005060001 in words is "one billion, five million, sixty thousand, one".