10369552561 has 9 divisors (see below), whose sum is σ = 10510628331. Its totient is φ = 10230349584.

The previous prime is 10369552489. The next prime is 10369552601. The reversal of 10369552561 is 16525596301.

The square root of 10369552561 is 101831.

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

It can be written as a sum of positive squares in only one way, i.e., 8412374961 + 1957177600 = 91719^2 + 44240^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10369552561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10369552861) 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, 8044005 + ... + 8045293.

Almost surely, 2^10369552561 is an apocalyptic number.

10369552561 is the 101831-st square number.

10369552561 is the 50916-th centered octagonal number.

It is an amenable number.

10369552561 is a deficient number, since it is larger than the sum of its proper divisors (141075770).

10369552561 is an frugal number, since it uses more digits than its factorization.

10369552561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The spelling of 10369552561 in words is "ten billion, three hundred sixty-nine million, five hundred fifty-two thousand, five hundred sixty-one".