10575859921 has 9 divisors (see below), whose sum is σ = 11625949083. Its totient is φ = 9613389720.

The previous prime is 10575859913. The next prime is 10575859979. The reversal of 10575859921 is 12995857501.

It is a happy number.

The square root of 10575859921 is 102839.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9160595521 + 1415264400 = 95711^2 + 37620^2 .

It is not a de Polignac number, because 10575859921 - 2³ = 10575859913 is a prime.

It is a super-2 number, since 2×10575859921² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10575857921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1126555 + ... + 1135903.

Almost surely, 2^10575859921 is an apocalyptic number.

10575859921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10575859921 is the 102839-th square number.

10575859921 is the 51420-th centered octagonal number.

It is an amenable number.

10575859921 is a deficient number, since it is larger than the sum of its proper divisors (1050089162).

10575859921 is an frugal number, since it uses more digits than its factorization.

10575859921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18720 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 52.

The spelling of 10575859921 in words is "ten billion, five hundred seventy-five million, eight hundred fifty-nine thousand, nine hundred twenty-one".