2552075721593 has 2 divisors, whose sum is σ = 2552075721594. Its totient is φ = 2552075721592.

The previous prime is 2552075721511. The next prime is 2552075721659. The reversal of 2552075721593 is 3951275702552.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2528821911529 + 23253810064 = 1590227^2 + 152492^2 .

It is a cyclic number.

It is not a de Polignac number, because 2552075721593 - 2²² = 2552071527289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2552075721493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276037860796 + 1276037860797.

It is an arithmetic number, because the mean of its divisors is an integer number (1276037860797).

Almost surely, 2^{2552075721593} is an apocalyptic number.

It is an amenable number.

2552075721593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2552075721593 is an equidigital number, since it uses as much as digits as its factorization.

2552075721593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6615000, while the sum is 53.

The spelling of 2552075721593 in words is "two trillion, five hundred fifty-two billion, seventy-five million, seven hundred twenty-one thousand, five hundred ninety-three".