10829682541 has 8 divisors (see below), whose sum is σ = 11235231000. Its totient is φ = 10426274880.

The previous prime is 10829682527. The next prime is 10829682649. The reversal of 10829682541 is 14528692801.

It can be written as a sum of positive squares in 4 ways, for example, as 1848140100 + 8981542441 = 42990^2 + 94771^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10829682541 - 2²¹ = 10827585389 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10829682491 and 10829682500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829682841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524890 + ... + 545131.

It is an arithmetic number, because the mean of its divisors is an integer number (1404403875).

Almost surely, 2^10829682541 is an apocalyptic number.

It is an amenable number.

10829682541 is a deficient number, since it is larger than the sum of its proper divisors (405548459).

10829682541 is a wasteful number, since it uses less digits than its factorization.

10829682541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070399.

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 10829682541 in words is "ten billion, eight hundred twenty-nine million, six hundred eighty-two thousand, five hundred forty-one".