10253385081 has 15 divisors (see below), whose sum is σ = 15318146613. Its totient is φ = 6834982500.

The previous prime is 10253385059. The next prime is 10253385113. The reversal of 10253385081 is 18058335201.

The square root of 10253385081 is 101259.

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

10253385081 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10253385081 - 2²⁷ = 10119167353 is a prime.

It is a super-2 number, since 2×10253385081² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10253385011) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 905706 + ... + 916956.

Almost surely, 2^10253385081 is an apocalyptic number.

10253385081 is the 101259-th square number.

10253385081 is the 50630-th centered octagonal number.

It is an amenable number.

10253385081 is a deficient number, since it is larger than the sum of its proper divisors (5064761532).

10253385081 is an frugal number, since it uses more digits than its factorization.

10253385081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22514 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 10253385081 by its sum of digits (36), we get a square (369121862916 = 607554²).

The spelling of 10253385081 in words is "ten billion, two hundred fifty-three million, three hundred eighty-five thousand, eighty-one".