9913625285281 has 9 divisors (see below), whose sum is σ = 9944194209651. Its totient is φ = 9883150072992.

The previous prime is 9913625285189. The next prime is 9913625285297. The reversal of 9913625285281 is 1825825263199.

The square root of 9913625285281 is 3148591.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2673306750625 + 7240318534656 = 1635025^2 + 2690784^2 .

It is not a de Polignac number, because 9913625285281 - 2¹³ = 9913625277089 is a prime.

It is a super-2 number, since 2×9913625285281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9913625685281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1061070496 + ... + 1061079838.

It is an arithmetic number, because the mean of its divisors is an integer number (1104910467739).

Almost surely, 2^{9913625285281} is an apocalyptic number.

9913625285281 is the 3148591-st square number.

9913625285281 is the 1574296-th centered octagonal number.

It is an amenable number.

9913625285281 is a deficient number, since it is larger than the sum of its proper divisors (30568924370).

9913625285281 is an frugal number, since it uses more digits than its factorization.

9913625285281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19360 (or 9680 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 61.

The spelling of 9913625285281 in words is "nine trillion, nine hundred thirteen billion, six hundred twenty-five million, two hundred eighty-five thousand, two hundred eighty-one".