10253331517 has 24 divisors (see below), whose sum is σ = 12157258680. Its totient is φ = 8589926400.

The previous prime is 10253331503. The next prime is 10253331523. The reversal of 10253331517 is 71513335201.

It is a happy number.

10253331517 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 4 ways, for example, as 4203447556 + 6049883961 = 64834^2 + 77781^2 .

It is not a de Polignac number, because 10253331517 - 2¹¹ = 10253329469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253331527) 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 in 23 ways as a sum of consecutive naturals, for example, 1003209 + ... + 1013377.

It is an arithmetic number, because the mean of its divisors is an integer number (506552445).

Almost surely, 2^10253331517 is an apocalyptic number.

It is an amenable number.

10253331517 is a deficient number, since it is larger than the sum of its proper divisors (1903927163).

10253331517 is a wasteful number, since it uses less digits than its factorization.

10253331517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845 (or 10834 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

Adding to 10253331517 its reverse (71513335201), we get a palindrome (81766666718).

The spelling of 10253331517 in words is "ten billion, two hundred fifty-three million, three hundred thirty-one thousand, five hundred seventeen".