2167258009921 has 9 divisors (see below), whose sum is σ = 2265618911521. Its totient is φ = 2072997013252.

The previous prime is 2167258009883. The next prime is 2167258009951. The reversal of 2167258009921 is 1299008527612.

The square root of 2167258009921 is 1472161.

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

It is not a de Polignac number, because 2167258009921 - 2²¹ = 2167255912769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2167258009951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33827700 + ... + 33891706.

Almost surely, 2^{2167258009921} is an apocalyptic number.

2167258009921 is the 1472161-st square number.

2167258009921 is the 736081-st centered octagonal number.

It is an amenable number.

2167258009921 is a deficient number, since it is larger than the sum of its proper divisors (98360901600).

2167258009921 is an frugal number, since it uses more digits than its factorization.

2167258009921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128060 (or 64030 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 2167258009921 in words is "two trillion, one hundred sixty-seven billion, two hundred fifty-eight million, nine thousand, nine hundred twenty-one".