10264567653 has 24 divisors (see below), whose sum is σ = 14923961208. Its totient is φ = 6798172032.

The previous prime is 10264567637. The next prime is 10264567769. The reversal of 10264567653 is 35676546201.

10264567653 is a `hidden beast` number, since 1 + 0 + 26 + 4 + 567 + 65 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3130738209 + 7133829444 = 55953^2 + 84462^2 .

It is not a de Polignac number, because 10264567653 - 2⁴ = 10264567637 is a prime.

It is a super-2 number, since 2×10264567653² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10264567599 and 10264567608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264567633) 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 23 ways as a sum of consecutive naturals, for example, 3668451 + ... + 3671247.

It is an arithmetic number, because the mean of its divisors is an integer number (621831717).

Almost surely, 2^10264567653 is an apocalyptic number.

It is an amenable number.

10264567653 is a deficient number, since it is larger than the sum of its proper divisors (4659393555).

10264567653 is a wasteful number, since it uses less digits than its factorization.

10264567653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 10264567653 in words is "ten billion, two hundred sixty-four million, five hundred sixty-seven thousand, six hundred fifty-three".