2590574706721 has 2 divisors, whose sum is σ = 2590574706722. Its totient is φ = 2590574706720.

The previous prime is 2590574706661. The next prime is 2590574706749. The reversal of 2590574706721 is 1276074750952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2512795632400 + 77779074321 = 1585180^2 + 278889^2 .

It is a cyclic number.

It is not a de Polignac number, because 2590574706721 - 2¹¹ = 2590574704673 is a prime.

It is a super-2 number, since 2×2590574706721² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2590574706791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1295287353360 + 1295287353361.

It is an arithmetic number, because the mean of its divisors is an integer number (1295287353361).

Almost surely, 2^{2590574706721} is an apocalyptic number.

It is an amenable number.

2590574706721 is a deficient number, since it is larger than the sum of its proper divisors (1).

2590574706721 is an equidigital number, since it uses as much as digits as its factorization.

2590574706721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 2590574706721 in words is "two trillion, five hundred ninety billion, five hundred seventy-four million, seven hundred six thousand, seven hundred twenty-one".