2731557221461 has 2 divisors, whose sum is σ = 2731557221462. Its totient is φ = 2731557221460.

The previous prime is 2731557221429. The next prime is 2731557221467. The reversal of 2731557221461 is 1641227551372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2662464470436 + 69092751025 = 1631706^2 + 262855^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731557221461 - 2⁵ = 2731557221429 is a prime.

It is a super-2 number, since 2×2731557221461² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2731557221467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365778610730 + 1365778610731.

It is an arithmetic number, because the mean of its divisors is an integer number (1365778610731).

Almost surely, 2^{2731557221461} is an apocalyptic number.

It is an amenable number.

2731557221461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731557221461 is an equidigital number, since it uses as much as digits as its factorization.

2731557221461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 705600, while the sum is 46.

The spelling of 2731557221461 in words is "two trillion, seven hundred thirty-one billion, five hundred fifty-seven million, two hundred twenty-one thousand, four hundred sixty-one".