2021461211961 has 9 divisors (see below), whose sum is σ = 2919894578341. Its totient is φ = 1347637964412.

The previous prime is 2021461211947. The next prime is 2021461211971. The reversal of 2021461211961 is 1691121641202.

The square root of 2021461211961 is 1421781.

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

2021461211961 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 461 + 2 + 1 + 196 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2021461211961 - 2⁹ = 2021461211449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2021461211941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4028380 + ... + 4502306.

Almost surely, 2^{2021461211961} is an apocalyptic number.

2021461211961 is the 1421781-st square number.

2021461211961 is the 710891-st centered octagonal number.

It is an amenable number.

2021461211961 is a deficient number, since it is larger than the sum of its proper divisors (898433366380).

2021461211961 is an frugal number, since it uses more digits than its factorization.

2021461211961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947860 (or 473930 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 2021461211961 by its sum of digits (36), we get a square (72772603630596 = 8530686²).

The spelling of 2021461211961 in words is "two trillion, twenty-one billion, four hundred sixty-one million, two hundred eleven thousand, nine hundred sixty-one".