13505005790 has 16 divisors (see below), whose sum is σ = 24767671968. Its totient is φ = 5300077536.

The previous prime is 13505005753. The next prime is 13505005807. The reversal of 13505005790 is 9750050531.

13505005790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13505005790.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12740042 + ... + 12741101.

It is an arithmetic number, because the mean of its divisors is an integer number (1547979498).

Almost surely, 2^13505005790 is an apocalyptic number.

13505005790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13505005790 is a deficient number, since it is larger than the sum of its proper divisors (11262666178).

13505005790 is a wasteful number, since it uses less digits than its factorization.

13505005790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25481203.

The product of its (nonzero) digits is 23625, while the sum is 35.

The spelling of 13505005790 in words is "thirteen billion, five hundred five million, five thousand, seven hundred ninety".