10015806241 has 45 divisors (see below), whose sum is σ = 12818734959. Its totient is φ = 7801358208.

The previous prime is 10015806233. The next prime is 10015806277. The reversal of 10015806241 is 14260851001.

The square root of 10015806241 is 100079.

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

10015806241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 1826280225 + 8189526016 = 42735^2 + 90496^2 .

It is not a de Polignac number, because 10015806241 - 2³ = 10015806233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10015806341) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 345372615 + ... + 345372643.

Almost surely, 2^10015806241 is an apocalyptic number.

10015806241 is the 100079-th square number.

10015806241 is the 50040-th centered octagonal number.

It is an amenable number.

10015806241 is a deficient number, since it is larger than the sum of its proper divisors (2802928718).

10015806241 is an frugal number, since it uses more digits than its factorization.

10015806241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 10015806241 in words is "ten billion, fifteen million, eight hundred six thousand, two hundred forty-one".