10584520129 has 4 divisors (see below), whose sum is σ = 10689317460. Its totient is φ = 10479722800.

The previous prime is 10584520109. The next prime is 10584520139. The reversal of 10584520129 is 92102548501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92102548501 = 67 ⋅1374664903.

It can be written as a sum of positive squares in 2 ways, for example, as 9482280129 + 1102240000 = 97377^2 + 33200^2 .

It is a cyclic number.

It is not a de Polignac number, because 10584520129 - 2⁵ = 10584520097 is a prime.

It is a super-2 number, since 2×10584520129² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10584520109) 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 3 ways as a sum of consecutive naturals, for example, 52398514 + ... + 52398715.

It is an arithmetic number, because the mean of its divisors is an integer number (2672329365).

Almost surely, 2^10584520129 is an apocalyptic number.

It is an amenable number.

10584520129 is a deficient number, since it is larger than the sum of its proper divisors (104797331).

10584520129 is a wasteful number, since it uses less digits than its factorization.

10584520129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104797330.

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 10584520129 in words is "ten billion, five hundred eighty-four million, five hundred twenty thousand, one hundred twenty-nine".