10582135388 has 48 divisors (see below), whose sum is σ = 20378561280. Its totient is φ = 4768243200.

The previous prime is 10582135387. The next prime is 10582135391. The reversal of 10582135388 is 88353128501.

It is a super-3 number, since 3×10582135388³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582135387) 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, 3146828 + ... + 3150188.

It is an arithmetic number, because the mean of its divisors is an integer number (424553360).

Almost surely, 2^10582135388 is an apocalyptic number.

It is an amenable number.

10582135388 is a deficient number, since it is larger than the sum of its proper divisors (9796425892).

10582135388 is a wasteful number, since it uses less digits than its factorization.

10582135388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

It can be divided in two parts, 1058213 and 5388, that added together give a palindrome (1063601).

The spelling of 10582135388 in words is "ten billion, five hundred eighty-two million, one hundred thirty-five thousand, three hundred eighty-eight".