10355823513 has 120 divisors (see below), whose sum is σ = 19672671744. Its totient is φ = 5388768000.

The previous prime is 10355823503. The next prime is 10355823553. The reversal of 10355823513 is 31532855301.

10355823513 is a `hidden beast` number, since 1 + 0 + 35 + 582 + 35 + 13 = 666.

It is not a de Polignac number, because 10355823513 - 2⁴ = 10355823497 is a prime.

It is a super-3 number, since 3×10355823513³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10355823503) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2089188 + ... + 2094138.

Almost surely, 2^10355823513 is an apocalyptic number.

It is an amenable number.

10355823513 is a deficient number, since it is larger than the sum of its proper divisors (9316848231).

10355823513 is a wasteful number, since it uses less digits than its factorization.

10355823513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10355823513 in words is "ten billion, three hundred fifty-five million, eight hundred twenty-three thousand, five hundred thirteen".