1012000505 has 16 divisors (see below), whose sum is σ = 1256357520. Its totient is φ = 781949952.

The previous prime is 1012000471. The next prime is 1012000513. The reversal of 1012000505 is 5050002101.

It can be written as a sum of positive squares in 8 ways, for example, as 4826809 + 1007173696 = 2197^2 + 31736^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012000505 - 2¹⁸ = 1011738361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1012000505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5381 + ... + 45309.

It is an arithmetic number, because the mean of its divisors is an integer number (78522345).

Almost surely, 2^1012000505 is an apocalyptic number.

It is an amenable number.

1012000505 is a deficient number, since it is larger than the sum of its proper divisors (244357015).

1012000505 is a wasteful number, since it uses less digits than its factorization.

1012000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40108.

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1012000505 is about 31811.9553784422. The cubic root of 1012000505 is about 1003.9842728207.

Adding to 1012000505 its reverse (5050002101), we get a palindrome (6062002606).

The spelling of 1012000505 in words is "one billion, twelve million, five hundred five", and thus it is an aban number.