1005300115505 has 32 divisors (see below), whose sum is σ = 1452990873600. Its totient is φ = 652288393152.

The previous prime is 1005300115499. The next prime is 1005300115517. The reversal of 1005300115505 is 5055110035001.

It is a cyclic number.

It is not a de Polignac number, because 1005300115505 - 2⁴ = 1005300115489 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342977 + ... + 1458846.

It is an arithmetic number, because the mean of its divisors is an integer number (45405964800).

Almost surely, 2^{1005300115505} is an apocalyptic number.

It is an amenable number.

1005300115505 is a deficient number, since it is larger than the sum of its proper divisors (447690758095).

1005300115505 is a wasteful number, since it uses less digits than its factorization.

1005300115505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802693.

The product of its (nonzero) digits is 1875, while the sum is 26.

The spelling of 1005300115505 in words is "one trillion, five billion, three hundred million, one hundred fifteen thousand, five hundred five".