1963521180049 has 81 divisors (see below), whose sum is σ = 2405496460017. Its totient is φ = 1600795996800.

The previous prime is 1963521180041. The next prime is 1963521180109. The reversal of 1963521180049 is 9400811253691.

It is a happy number.

The square root of 1963521180049 is 1401257.

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 1307855268225 + 655665911824 = 1143615^2 + 809732^2 .

It is not a de Polignac number, because 1963521180049 - 2³ = 1963521180041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1963521179984 and 1963521180011.

It is not an unprimeable number, because it can be changed into a prime (1963521180041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8215569672 + ... + 8215569910.

Almost surely, 2^{1963521180049} is an apocalyptic number.

1963521180049 is the 1401257-th square number.

1963521180049 is the 700629-th centered octagonal number.

It is an amenable number.

1963521180049 is a deficient number, since it is larger than the sum of its proper divisors (441975279968).

1963521180049 is an equidigital number, since it uses as much as digits as its factorization.

1963521180049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

Multiplying 1963521180049 by its sum of digits (49), we get a square (96212537822401 = 9808799²).

The spelling of 1963521180049 in words is "one trillion, nine hundred sixty-three billion, five hundred twenty-one million, one hundred eighty thousand, forty-nine".