10583025553 has 2 divisors, whose sum is σ = 10583025554. Its totient is φ = 10583025552.

The previous prime is 10583025527. The next prime is 10583025559. The reversal of 10583025553 is 35552038501.

10583025553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9857908369 + 725117184 = 99287^2 + 26928^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10583025553 is a prime.

It is a super-3 number, since 3×10583025553³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10583025559) 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, 5291512776 + 5291512777.

It is an arithmetic number, because the mean of its divisors is an integer number (5291512777).

Almost surely, 2^10583025553 is an apocalyptic number.

It is an amenable number.

10583025553 is a deficient number, since it is larger than the sum of its proper divisors (1).

10583025553 is an equidigital number, since it uses as much as digits as its factorization.

10583025553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 10583025553 in words is "ten billion, five hundred eighty-three million, twenty-five thousand, five hundred fifty-three".