2561473321 has 27 divisors (see below), whose sum is σ = 2909694333. Its totient is φ = 2253201720.

The previous prime is 2561473303. The next prime is 2561473337. The reversal of 2561473321 is 1233741652.

The square root of 2561473321 is 50611.

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

It is not a de Polignac number, because 2561473321 - 2¹⁷ = 2561342249 is a prime.

It is a super-2 number, since 2×2561473321² = 13122291148389538082, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2561473381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23938950 + ... + 23939056.

Almost surely, 2^2561473321 is an apocalyptic number.

2561473321 is the 50611-st square number.

2561473321 is the 25306-th centered octagonal number.

It is an amenable number.

2561473321 is a deficient number, since it is larger than the sum of its proper divisors (348221012).

2561473321 is an equidigital number, since it uses as much as digits as its factorization.

2561473321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The cubic root of 2561473321 is about 1368.2431386246.

The spelling of 2561473321 in words is "two billion, five hundred sixty-one million, four hundred seventy-three thousand, three hundred twenty-one".