25578683583553 has 2 divisors, whose sum is σ = 25578683583554. Its totient is φ = 25578683583552.

The previous prime is 25578683583433. The next prime is 25578683583589. The reversal of 25578683583553 is 35538538687552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17132173644609 + 8446509938944 = 4139103^2 + 2906288^2 .

It is a cyclic number.

It is not a de Polignac number, because 25578683583553 - 2²¹ = 25578681486401 is a prime.

It is not a weakly prime, because it can be changed into another prime (25578683583253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12789341791776 + 12789341791777.

It is an arithmetic number, because the mean of its divisors is an integer number (12789341791777).

Almost surely, 2^{25578683583553} is an apocalyptic number.

It is an amenable number.

25578683583553 is a deficient number, since it is larger than the sum of its proper divisors (1).

25578683583553 is an equidigital number, since it uses as much as digits as its factorization.

25578683583553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800000, while the sum is 73.

The spelling of 25578683583553 in words is "twenty-five trillion, five hundred seventy-eight billion, six hundred eighty-three million, five hundred eighty-three thousand, five hundred fifty-three".