63980161249 has 9 divisors (see below), whose sum is σ = 67969652947. Its totient is φ = 60212575264.

The previous prime is 63980161237. The next prime is 63980161277. The reversal of 63980161249 is 94216108936.

It is a happy number.

The square root of 63980161249 is 252943.

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

63980161249 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., 49811544225 + 14168617024 = 223185^2 + 119032^2 .

It is not a de Polignac number, because 63980161249 - 2³³ = 55390226657 is a prime.

It is a super-2 number, since 2×63980161249² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63980161229) 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, 4292592 + ... + 4307470.

Almost surely, 2^63980161249 is an apocalyptic number.

63980161249 is the 252943-rd square number.

63980161249 is the 126472-nd centered octagonal number.

It is an amenable number.

63980161249 is a deficient number, since it is larger than the sum of its proper divisors (3989491698).

63980161249 is an frugal number, since it uses more digits than its factorization.

63980161249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29792 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

Multiplying 63980161249 by its sum of digits (49), we get a square (3135027901201 = 1770601²).

The spelling of 63980161249 in words is "sixty-three billion, nine hundred eighty million, one hundred sixty-one thousand, two hundred forty-nine".