13735082319 has 32 divisors (see below), whose sum is σ = 21003141120. Its totient is φ = 7821122400.

The previous prime is 13735082303. The next prime is 13735082329. The reversal of 13735082319 is 91328053731.

It is not a de Polignac number, because 13735082319 - 2⁴ = 13735082303 is a prime.

It is a super-2 number, since 2×13735082319² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735082329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13219002 + ... + 13220040.

It is an arithmetic number, because the mean of its divisors is an integer number (656348160).

Almost surely, 2^13735082319 is an apocalyptic number.

13735082319 is a deficient number, since it is larger than the sum of its proper divisors (7268058801).

13735082319 is a wasteful number, since it uses less digits than its factorization.

13735082319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651.

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 13735082319 in words is "thirteen billion, seven hundred thirty-five million, eighty-two thousand, three hundred nineteen".