10510005561 has 16 divisors (see below), whose sum is σ = 15438644928. Its totient is φ = 6306632000.

The previous prime is 10510005551. The next prime is 10510005613. The reversal of 10510005561 is 16550001501.

It is a cyclic number.

It is not a de Polignac number, because 10510005561 - 2²⁵ = 10476451129 is a prime.

It is a super-2 number, since 2×10510005561² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10510005551) 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 15 ways as a sum of consecutive naturals, for example, 1573326 + ... + 1579991.

It is an arithmetic number, because the mean of its divisors is an integer number (964915308).

Almost surely, 2^10510005561 is an apocalyptic number.

10510005561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10510005561 is a deficient number, since it is larger than the sum of its proper divisors (4928639367).

10510005561 is a wasteful number, since it uses less digits than its factorization.

10510005561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153432.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 10510005561 in words is "ten billion, five hundred ten million, five thousand, five hundred sixty-one".