1967289565201 has 9 divisors (see below), whose sum is σ = 1972815833361. Its totient is φ = 1961778745872.

The previous prime is 1967289565169. The next prime is 1967289565249. The reversal of 1967289565201 is 1025659827691.

The square root of 1967289565201 is 1402601.

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 482401091601 + 1484888473600 = 694551^2 + 1218560^2 .

It is not a de Polignac number, because 1967289565201 - 2⁵ = 1967289565169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1967289565201.

It is not an unprimeable number, because it can be changed into a prime (1967289568201) 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, 556830831 + ... + 556834363.

Almost surely, 2^{1967289565201} is an apocalyptic number.

1967289565201 is the 1402601-st square number.

1967289565201 is the 701301-st centered octagonal number.

It is an amenable number.

1967289565201 is a deficient number, since it is larger than the sum of its proper divisors (5526268160).

1967289565201 is an frugal number, since it uses more digits than its factorization.

1967289565201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 1967289565201 in words is "one trillion, nine hundred sixty-seven billion, two hundred eighty-nine million, five hundred sixty-five thousand, two hundred one".