10512553305 has 64 divisors (see below), whose sum is σ = 17880145920. Its totient is φ = 5263315200.

The previous prime is 10512553243. The next prime is 10512553321. The reversal of 10512553305 is 50335521501.

10512553305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10512553305 - 2¹⁴ = 10512536921 is a prime.

It is a super-2 number, since 2×10512553305² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4932090 + ... + 4934220.

It is an arithmetic number, because the mean of its divisors is an integer number (279377280).

Almost surely, 2^10512553305 is an apocalyptic number.

10512553305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10512553305 is a deficient number, since it is larger than the sum of its proper divisors (7367592615).

10512553305 is a wasteful number, since it uses less digits than its factorization.

10512553305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422.

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 10512553305 in words is "ten billion, five hundred twelve million, five hundred fifty-three thousand, three hundred five".