461307002221 has 16 divisors (see below), whose sum is σ = 526294162800. Its totient is φ = 400560979968.

The previous prime is 461307002213. The next prime is 461307002243. The reversal of 461307002221 is 122200703164.

It can be written as a sum of positive squares in 8 ways, for example, as 16432676100 + 444874326121 = 128190^2 + 666989^2 .

It is a cyclic number.

It is not a de Polignac number, because 461307002221 - 2³ = 461307002213 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 461307002221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461307002291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135036 + ... + 969973.

It is an arithmetic number, because the mean of its divisors is an integer number (32893385175).

Almost surely, 2^461307002221 is an apocalyptic number.

It is an amenable number.

461307002221 is a deficient number, since it is larger than the sum of its proper divisors (64987160579).

461307002221 is a wasteful number, since it uses less digits than its factorization.

461307002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106928.

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 461307002221 its reverse (122200703164), we get a palindrome (583507705385).

The spelling of 461307002221 in words is "four hundred sixty-one billion, three hundred seven million, two thousand, two hundred twenty-one".