10264981617801 has 63 divisors (see below), whose sum is σ = 15549633344791. Its totient is φ = 6773251763664.

The previous prime is 10264981617739. The next prime is 10264981617811. The reversal of 10264981617801 is 10871618946201.

The square root of 10264981617801 is 3203901.

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

10264981617801 is a `hidden beast` number, since 1 + 0 + 26 + 498 + 1 + 61 + 78 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165933207801 + 10099048410000 = 407349^2 + 3177900^2 .

It is not a de Polignac number, because 10264981617801 - 2⁷ = 10264981617673 is a prime.

It is a super-2 number, since 2×10264981617801² (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 (10264981617811) 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 62 ways as a sum of consecutive naturals, for example, 9256069435 + ... + 9256070543.

Almost surely, 2^{10264981617801} is an apocalyptic number.

10264981617801 is the 3203901-st square number.

10264981617801 is the 1601951-st centered octagonal number.

It is an amenable number.

10264981617801 is a deficient number, since it is larger than the sum of its proper divisors (5284651726990).

10264981617801 is an frugal number, since it uses more digits than its factorization.

10264981617801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 10264981617801 in words is "ten trillion, two hundred sixty-four billion, nine hundred eighty-one million, six hundred seventeen thousand, eight hundred one".