251322135553 has 12 divisors (see below), whose sum is σ = 259724698884. Its totient is φ = 243183244800.

The previous prime is 251322135551. The next prime is 251322135563. The reversal of 251322135553 is 355531223152.

251322135553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76257717904 + 175064417649 = 276148^2 + 418407^2 .

It is not a de Polignac number, because 251322135553 - 2¹ = 251322135551 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251322135551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11168073 + ... + 11190553.

It is an arithmetic number, because the mean of its divisors is an integer number (21643724907).

Almost surely, 2^251322135553 is an apocalyptic number.

It is an amenable number.

251322135553 is a deficient number, since it is larger than the sum of its proper divisors (8402563331).

251322135553 is a wasteful number, since it uses less digits than its factorization.

251322135553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34176 (or 34145 counting only the distinct ones).

The product of its digits is 135000, while the sum is 37.

The spelling of 251322135553 in words is "two hundred fifty-one billion, three hundred twenty-two million, one hundred thirty-five thousand, five hundred fifty-three".