680521053969 has 27 divisors (see below), whose sum is σ = 995261024667. Its totient is φ = 448079380416.

The previous prime is 680521053941. The next prime is 680521053973. The reversal of 680521053969 is 969350125086.

It is a happy number.

The square root of 680521053969 is 824937.

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

680521053969 is a `hidden beast` number, since 6 + 8 + 0 + 521 + 0 + 53 + 9 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 628952094225 + 51568959744 = 793065^2 + 227088^2 .

It is not a de Polignac number, because 680521053969 - 2¹⁷ = 680520922897 is a prime.

It is a super-2 number, since 2×680521053969² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (680521053169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205407657 + ... + 205410969.

Almost surely, 2^680521053969 is an apocalyptic number.

680521053969 is the 824937-th square number.

680521053969 is the 412469-th centered octagonal number.

It is an amenable number.

680521053969 is a deficient number, since it is larger than the sum of its proper divisors (314739970698).

680521053969 is an frugal number, since it uses more digits than its factorization.

680521053969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 680521053969 in words is "six hundred eighty billion, five hundred twenty-one million, fifty-three thousand, nine hundred sixty-nine".