10645634225061 has 72 divisors (see below), whose sum is σ = 16956370431000. Its totient is φ = 6431167733760.

The previous prime is 10645634225029. The next prime is 10645634225089. The reversal of 10645634225061 is 16052243654601.

10645634225061 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 634 + 2 + 2 + 5 + 0 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 511948836036 + 10133685389025 = 715506^2 + 3183345^2 .

It is not a de Polignac number, because 10645634225061 - 2⁵ = 10645634225029 is a prime.

It is a super-2 number, since 2×10645634225061² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645634224998 and 10645634225016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645634225461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1851733815 + ... + 1851739563.

It is an arithmetic number, because the mean of its divisors is an integer number (235505144875).

Almost surely, 2^{10645634225061} is an apocalyptic number.

10645634225061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10645634225061 is a deficient number, since it is larger than the sum of its proper divisors (6310736205939).

10645634225061 is a wasteful number, since it uses less digits than its factorization.

10645634225061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 10645634225061 its reverse (16052243654601), we get a palindrome (26697877879662).

The spelling of 10645634225061 in words is "ten trillion, six hundred forty-five billion, six hundred thirty-four million, two hundred twenty-five thousand, sixty-one".