1024125344305 has 64 divisors (see below), whose sum is σ = 1463698045440. Its totient is φ = 673033181184.

The previous prime is 1024125344279. The next prime is 1024125344311. The reversal of 1024125344305 is 5034435214201.

It is not a de Polignac number, because 1024125344305 - 2⁵ = 1024125344273 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 63 ways as a sum of consecutive naturals, for example, 190107822 + ... + 190113208.

It is an arithmetic number, because the mean of its divisors is an integer number (22870281960).

Almost surely, 2^{1024125344305} is an apocalyptic number.

It is an amenable number.

1024125344305 is a deficient number, since it is larger than the sum of its proper divisors (439572701135).

1024125344305 is a wasteful number, since it uses less digits than its factorization.

1024125344305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778.

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 1024125344305 in words is "one trillion, twenty-four billion, one hundred twenty-five million, three hundred forty-four thousand, three hundred five".