2577887512481 has 2 divisors, whose sum is σ = 2577887512482. Its totient is φ = 2577887512480.

The previous prime is 2577887512439. The next prime is 2577887512517. The reversal of 2577887512481 is 1842157887752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1675577502481 + 902310010000 = 1294441^2 + 949900^2 .

It is a cyclic number.

It is not a de Polignac number, because 2577887512481 - 2¹⁴ = 2577887496097 is a prime.

It is a super-2 number, since 2×2577887512481² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2577887515481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1288943756240 + 1288943756241.

It is an arithmetic number, because the mean of its divisors is an integer number (1288943756241).

Almost surely, 2^{2577887512481} is an apocalyptic number.

It is an amenable number.

2577887512481 is a deficient number, since it is larger than the sum of its proper divisors (1).

2577887512481 is an equidigital number, since it uses as much as digits as its factorization.

2577887512481 is an evil number, because the sum of its binary digits is even.

The product of its digits is 70246400, while the sum is 65.

The spelling of 2577887512481 in words is "two trillion, five hundred seventy-seven billion, eight hundred eighty-seven million, five hundred twelve thousand, four hundred eighty-one".