10520727561 has 12 divisors (see below), whose sum is σ = 15720627780. Its totient is φ = 6771962400.

The previous prime is 10520727541. The next prime is 10520727563. The reversal of 10520727561 is 16572702501.

10520727561 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 72 + 7 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8004701961 + 2516025600 = 89469^2 + 50160^2 .

It is not a de Polignac number, because 10520727561 - 2⁷ = 10520727433 is a prime.

It is a super-2 number, since 2×10520727561² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10520727563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20154390 + ... + 20154911.

It is an arithmetic number, because the mean of its divisors is an integer number (1310052315).

Almost surely, 2^10520727561 is an apocalyptic number.

It is an amenable number.

10520727561 is a deficient number, since it is larger than the sum of its proper divisors (5199900219).

10520727561 is a wasteful number, since it uses less digits than its factorization.

10520727561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40309336 (or 40309333 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 10520727561 in words is "ten billion, five hundred twenty million, seven hundred twenty-seven thousand, five hundred sixty-one".