10521317440 has 56 divisors (see below), whose sum is σ = 25067846232. Its totient is φ = 4206182400.

The previous prime is 10521317371. The next prime is 10521317483. The reversal of 10521317440 is 4471312501.

It can be written as a sum of positive squares in 4 ways, for example, as 4369738816 + 6151578624 = 66104^2 + 78432^2 .

It is a super-2 number, since 2×10521317440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10521317399 and 10521317408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 637290 + ... + 653590.

Almost surely, 2^10521317440 is an apocalyptic number.

10521317440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10521317440 is an abundant number, since it is smaller than the sum of its proper divisors (14546528792).

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

10521317440 is a wasteful number, since it uses less digits than its factorization.

10521317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18335 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 10521317440 its reverse (4471312501), we get a palindrome (14992629941).

The spelling of 10521317440 in words is "ten billion, five hundred twenty-one million, three hundred seventeen thousand, four hundred forty".