2577468937721 has 2 divisors, whose sum is σ = 2577468937722. Its totient is φ = 2577468937720.

The previous prime is 2577468937651. The next prime is 2577468937783. The reversal of 2577468937721 is 1277398647752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1478986770496 + 1098482167225 = 1216136^2 + 1048085^2 .

It is a cyclic number.

It is not a de Polignac number, because 2577468937721 - 2¹⁴ = 2577468921337 is a prime.

It is a super-2 number, since 2×2577468937721² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2577468907721) 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 as a sum of consecutive naturals, namely, 1288734468860 + 1288734468861.

It is an arithmetic number, because the mean of its divisors is an integer number (1288734468861).

Almost surely, 2^{2577468937721} is an apocalyptic number.

It is an amenable number.

2577468937721 is a deficient number, since it is larger than the sum of its proper divisors (1).

2577468937721 is an equidigital number, since it uses as much as digits as its factorization.

2577468937721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248935680, while the sum is 68.

The spelling of 2577468937721 in words is "two trillion, five hundred seventy-seven billion, four hundred sixty-eight million, nine hundred thirty-seven thousand, seven hundred twenty-one".