10534413000 has 128 divisors (see below), whose sum is σ = 33284160000. Its totient is φ = 2773555200.

The previous prime is 10534412983. The next prime is 10534413017. The reversal of 10534413000 is 31443501.

10534413000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10534412983) and next prime (10534413017).

It is a super-3 number, since 3×10534413000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214776 + ... + 259224.

It is an arithmetic number, because the mean of its divisors is an integer number (260032500).

Almost surely, 2^10534413000 is an apocalyptic number.

10534413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080000).

10534413000 is an abundant number, since it is smaller than the sum of its proper divisors (22749747000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10534413000 is a wasteful number, since it uses less digits than its factorization.

10534413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44552 (or 44538 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10534413000 its reverse (31443501), we get a palindrome (10565856501).

The spelling of 10534413000 in words is "ten billion, five hundred thirty-four million, four hundred thirteen thousand".