3917553276961 has 3 divisors (see below), whose sum is σ = 3917555256243. Its totient is φ = 3917551297680.

The previous prime is 3917553276947. The next prime is 3917553276991. The reversal of 3917553276961 is 1696723557193.

The square root of 3917553276961 is 1979281.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1737205716961 + 2180347560000 = 1318031^2 + 1476600^2 .

It is not a de Polignac number, because 3917553276961 - 2⁹ = 3917553276449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3917553276893 and 3917553276902.

It is not an unprimeable number, because it can be changed into a prime (3917553276991) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 989641 + ... + 2968921.

It is an arithmetic number, because the mean of its divisors is an integer number (1305851752081).

Almost surely, 2^{3917553276961} is an apocalyptic number.

3917553276961 is the 1979281-st square number.

3917553276961 is the 989641-st centered octagonal number.

It is an amenable number.

3917553276961 is a deficient number, since it is larger than the sum of its proper divisors (1979282).

3917553276961 is an frugal number, since it uses more digits than its factorization.

3917553276961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958562 (or 1979281 counting only the distinct ones).

The product of its digits is 64297800, while the sum is 64.

Multiplying 3917553276961 by its sum of digits (64), we get a square (250723409725504 = 15834248²).

The spelling of 3917553276961 in words is "three trillion, nine hundred seventeen billion, five hundred fifty-three million, two hundred seventy-six thousand, nine hundred sixty-one".