1000312005 has 64 divisors (see below), whose sum is σ = 2002526208. Its totient is φ = 414236160.

The previous prime is 1000312003. The next prime is 1000312009. The reversal of 1000312005 is 5002130001.

It is not a de Polignac number, because 1000312005 - 2¹ = 1000312003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000312003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360132 + ... + 362898.

It is an arithmetic number, because the mean of its divisors is an integer number (31289472).

Almost surely, 2^1000312005 is an apocalyptic number.

1000312005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000312005 is an abundant number, since it is smaller than the sum of its proper divisors (1002214203).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000312005 is a wasteful number, since it uses less digits than its factorization.

1000312005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1000312005 is about 31627.7094491523. The cubic root of 1000312005 is about 1000.1039908522.

Adding to 1000312005 its reverse (5002130001), we get a palindrome (6002442006).

The spelling of 1000312005 in words is "one billion, three hundred twelve thousand, five".