10553658361 has 9 divisors (see below), whose sum is σ = 11212835151. Its totient is φ = 9931211232.

The previous prime is 10553658331. The next prime is 10553658371. The reversal of 10553658361 is 16385635501.

The square root of 10553658361 is 102731.

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

10553658361 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., 8216516025 + 2337142336 = 90645^2 + 48344^2 .

It is not a de Polignac number, because 10553658361 - 2⁵ = 10553658329 is a prime.

It is a super-2 number, since 2×10553658361² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10553658331) 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, 1743406 + ... + 1749448.

Almost surely, 2^10553658361 is an apocalyptic number.

10553658361 is the 102731-st square number.

10553658361 is the 51366-th centered octagonal number.

It is an amenable number.

10553658361 is a deficient number, since it is larger than the sum of its proper divisors (659176790).

10553658361 is an frugal number, since it uses more digits than its factorization.

10553658361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 10553658361 in words is "ten billion, five hundred fifty-three million, six hundred fifty-eight thousand, three hundred sixty-one".