1968956208025 has 9 divisors (see below), whose sum is σ = 2441514397791. Its totient is φ = 1575159353640.

The previous prime is 1968956208017. The next prime is 1968956208031. The reversal of 1968956208025 is 5208026598691.

The square root of 1968956208025 is 1403195.

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., 708824234889 + 1260131973136 = 841917^2 + 1122556^2 .

It is not a de Polignac number, because 1968956208025 - 2³ = 1968956208017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6875656 + ... + 7156294.

Almost surely, 2^{1968956208025} is an apocalyptic number.

1968956208025 is the 1403195-th square number.

1968956208025 is the 701598-th centered octagonal number.

It is an amenable number.

1968956208025 is a deficient number, since it is larger than the sum of its proper divisors (472558189766).

1968956208025 is an frugal number, since it uses more digits than its factorization.

1968956208025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561288 (or 280644 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 1968956208025 in words is "one trillion, nine hundred sixty-eight billion, nine hundred fifty-six million, two hundred eight thousand, twenty-five".