10502726305681 has 27 divisors (see below), whose sum is σ = 10945647160273. Its totient is φ = 10077563693600.

The previous prime is 10502726305679. The next prime is 10502726305693. The reversal of 10502726305681 is 18650362720501.

The square root of 10502726305681 is 3240791.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2569400614225 + 7933325691456 = 1602935^2 + 2816616^2 .

It is not a de Polignac number, because 10502726305681 - 2¹ = 10502726305679 is a prime.

It is a super-2 number, since 2×10502726305681² (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 (10502726305651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8072809731 + ... + 8072811031.

Almost surely, 2^{10502726305681} is an apocalyptic number.

10502726305681 is the 3240791-st square number.

10502726305681 is the 1620396-th centered octagonal number.

It is an amenable number.

10502726305681 is a deficient number, since it is larger than the sum of its proper divisors (442920854592).

10502726305681 is an frugal number, since it uses more digits than its factorization.

10502726305681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 10502726305681 in words is "ten trillion, five hundred two billion, seven hundred twenty-six million, three hundred five thousand, six hundred eighty-one".