10355405319 has 12 divisors (see below), whose sum is σ = 17094637456. Its totient is φ = 5917374432.

The previous prime is 10355405287. The next prime is 10355405329. The reversal of 10355405319 is 91350455301.

It is a happy number.

10355405319 is a `hidden beast` number, since 103 + 5 + 540 + 5 + 3 + 1 + 9 = 666.

10355405319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10355405319 - 2⁵ = 10355405287 is a prime.

It is a super-3 number, since 3×10355405319³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355405329) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 82185694 + ... + 82185819.

Almost surely, 2^10355405319 is an apocalyptic number.

10355405319 is a deficient number, since it is larger than the sum of its proper divisors (6739232137).

10355405319 is a wasteful number, since it uses less digits than its factorization.

10355405319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164371526 (or 164371523 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 10355405319 in words is "ten billion, three hundred fifty-five million, four hundred five thousand, three hundred nineteen".