10485996521 has 48 divisors (see below), whose sum is σ = 14420000448. Its totient is φ = 7495286400.

The previous prime is 10485996517. The next prime is 10485996557. The reversal of 10485996521 is 12569958401.

10485996521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10485996521 - 2² = 10485996517 is a prime.

It is a super-2 number, since 2×10485996521² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10485996521.

It is not an unprimeable number, because it can be changed into a prime (10485996511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1137551 + ... + 1146731.

It is an arithmetic number, because the mean of its divisors is an integer number (300416676).

Almost surely, 2^10485996521 is an apocalyptic number.

10485996521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10485996521 is a deficient number, since it is larger than the sum of its proper divisors (3934003927).

10485996521 is a wasteful number, since it uses less digits than its factorization.

10485996521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 50.

The spelling of 10485996521 in words is "ten billion, four hundred eighty-five million, nine hundred ninety-six thousand, five hundred twenty-one".