15953386000561 has 9 divisors (see below), whose sum is σ = 16119940922049. Its totient is φ = 15788534663424.

The previous prime is 15953386000529. The next prime is 15953386000579. The reversal of 15953386000561 is 16500068335951.

The square root of 15953386000561 is 3994169.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1462573378161 + 14490812622400 = 1209369^2 + 3806680^2 .

It is not a de Polignac number, because 15953386000561 - 2⁵ = 15953386000529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15953386000499 and 15953386000508.

It is not an unprimeable number, because it can be changed into a prime (15953386000061) 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, 387413805 + ... + 387454981.

Almost surely, 2^{15953386000561} is an apocalyptic number.

15953386000561 is the 3994169-th square number.

15953386000561 is the 1997085-th centered octagonal number.

It is an amenable number.

15953386000561 is a deficient number, since it is larger than the sum of its proper divisors (166554921488).

15953386000561 is an frugal number, since it uses more digits than its factorization.

15953386000561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82548 (or 41274 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 52.

The spelling of 15953386000561 in words is "fifteen trillion, nine hundred fifty-three billion, three hundred eighty-six million, five hundred sixty-one", and thus it is an aban number.