10505611025 has 36 divisors (see below), whose sum is σ = 16319510172. Its totient is φ = 6649695360.

The previous prime is 10505611019. The next prime is 10505611037. The reversal of 10505611025 is 52011650501.

10505611025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 95082001 + 10410529024 = 9751^2 + 102032^2 .

It is not a de Polignac number, because 10505611025 - 2⁶ = 10505610961 is a prime.

It is a super-2 number, since 2×10505611025² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10505610985 and 10505611003.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 313922 + ... + 345771.

It is an arithmetic number, because the mean of its divisors is an integer number (453319727).

Almost surely, 2^10505611025 is an apocalyptic number.

It is an amenable number.

10505611025 is a deficient number, since it is larger than the sum of its proper divisors (5813899147).

10505611025 is a wasteful number, since it uses less digits than its factorization.

10505611025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659730 (or 659718 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The spelling of 10505611025 in words is "ten billion, five hundred five million, six hundred eleven thousand, twenty-five".