1012405052305 has 16 divisors (see below), whose sum is σ = 1256831355600. Its totient is φ = 781962854400.

The previous prime is 1012405052257. The next prime is 1012405052431. The reversal of 1012405052305 is 5032505042101.

It can be written as a sum of positive squares in 8 ways, for example, as 33585693696 + 978819358609 = 183264^2 + 989353^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1012405052305 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667105 + ... + 3933505.

It is an arithmetic number, because the mean of its divisors is an integer number (78551959725).

Almost surely, 2^{1012405052305} is an apocalyptic number.

It is an amenable number.

1012405052305 is a deficient number, since it is larger than the sum of its proper divisors (244426303295).

1012405052305 is a wasteful number, since it uses less digits than its factorization.

1012405052305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292644.

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 1012405052305 in words is "one trillion, twelve billion, four hundred five million, fifty-two thousand, three hundred five".