10556124049 has 9 divisors (see below), whose sum is σ = 10653065787. Its totient is φ = 10460059344.

The previous prime is 10556123989. The next prime is 10556124071. The reversal of 10556124049 is 94042165501.

The square root of 10556124049 is 102743.

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

10556124049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9291610449 + 1264513600 = 96393^2 + 35560^2 .

It is not a de Polignac number, because 10556124049 - 2³³ = 1966189457 is a prime.

It is a super-2 number, since 2×10556124049² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10556123999 and 10556124017.

It is not an unprimeable number, because it can be changed into a prime (10556124749) 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 8 ways as a sum of consecutive naturals, for example, 13047957 + ... + 13048765.

Almost surely, 2^10556124049 is an apocalyptic number.

10556124049 is the 102743-rd square number.

10556124049 is the 51372-nd centered octagonal number.

It is an amenable number.

10556124049 is a deficient number, since it is larger than the sum of its proper divisors (96941738).

10556124049 is an frugal number, since it uses more digits than its factorization.

10556124049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 10556124049 in words is "ten billion, five hundred fifty-six million, one hundred twenty-four thousand, forty-nine".