10513955405529 has 9 divisors (see below), whose sum is σ = 15186838525599. Its totient is φ = 7009297118640.

The previous prime is 10513955405519. The next prime is 10513955405531. The reversal of 10513955405529 is 92550455931501.

The square root of 10513955405529 is 3242523.

It is a perfect power (a square), and thus also a powerful number.

10513955405529 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 95 + 540 + 5 + 5 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72267955929 + 10441687449600 = 268827^2 + 3231360^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-10513955405529 is a prime.

It is a super-2 number, since 2×10513955405529² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10513955405519) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9187149 + ... + 10267989.

Almost surely, 2^{10513955405529} is an apocalyptic number.

10513955405529 is the 3242523-rd square number.

10513955405529 is the 1621262-nd centered octagonal number.

It is an amenable number.

10513955405529 is a deficient number, since it is larger than the sum of its proper divisors (4672883120070).

10513955405529 is an frugal number, since it uses more digits than its factorization.

10513955405529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161688 (or 1080844 counting only the distinct ones).

The product of its (nonzero) digits is 6075000, while the sum is 54.

The spelling of 10513955405529 in words is "ten trillion, five hundred thirteen billion, nine hundred fifty-five million, four hundred five thousand, five hundred twenty-nine".