63563990161 has 9 divisors (see below), whose sum is σ = 73943837499. Its totient is φ = 54481907424.

The previous prime is 63563990159. The next prime is 63563990177. The reversal of 63563990161 is 16109936536.

The square root of 63563990161 is 252119.

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., 32958587025 + 30605403136 = 181545^2 + 174944^2 .

It is not a de Polignac number, because 63563990161 - 2¹ = 63563990159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (63563990461) 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, 1746825 + ... + 1782841.

Almost surely, 2^63563990161 is an apocalyptic number.

63563990161 is the 252119-th square number.

63563990161 is the 126060-th centered octagonal number.

It is an amenable number.

63563990161 is a deficient number, since it is larger than the sum of its proper divisors (10379847338).

63563990161 is an frugal number, since it uses more digits than its factorization.

63563990161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72048 (or 36024 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 49.

Multiplying 63563990161 by its sum of digits (49), we get a square (3114635517889 = 1764833²).

63563990161 divided by its sum of digits (49) gives a square (1297224289 = 36017²).

The spelling of 63563990161 in words is "sixty-three billion, five hundred sixty-three million, nine hundred ninety thousand, one hundred sixty-one".