2582013542393 has 2 divisors, whose sum is σ = 2582013542394. Its totient is φ = 2582013542392.

The previous prime is 2582013542363. The next prime is 2582013542411. The reversal of 2582013542393 is 3932453102852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1354821505024 + 1227192037369 = 1163968^2 + 1107787^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582013542393 - 2¹² = 2582013538297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2582013542363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291006771196 + 1291006771197.

It is an arithmetic number, because the mean of its divisors is an integer number (1291006771197).

Almost surely, 2^{2582013542393} is an apocalyptic number.

It is an amenable number.

2582013542393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582013542393 is an equidigital number, since it uses as much as digits as its factorization.

2582013542393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 2582013542393 in words is "two trillion, five hundred eighty-two billion, thirteen million, five hundred forty-two thousand, three hundred ninety-three".