10028717244225 has 81 divisors (see below), whose sum is σ = 18267120200667. Its totient is φ = 5259446352000.

The previous prime is 10028717244197. The next prime is 10028717244283. The reversal of 10028717244225 is 52244271782001.

The square root of 10028717244225 is 3166815.

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

10028717244225 is a `hidden beast` number, since 10 + 0 + 2 + 8 + 7 + 172 + 442 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9235028688561 + 793688555664 = 3038919^2 + 890892^2 .

It is not a de Polignac number, because 10028717244225 - 2⁷ = 10028717244097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2897633995 + ... + 2897637455.

Almost surely, 2^{10028717244225} is an apocalyptic number.

10028717244225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10028717244225 is the 3166815-th square number.

10028717244225 is the 1583408-th centered octagonal number.

It is an amenable number.

10028717244225 is a deficient number, since it is larger than the sum of its proper divisors (8238402956442).

10028717244225 is an frugal number, since it uses more digits than its factorization.

10028717244225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 10028717244225 in words is "ten trillion, twenty-eight billion, seven hundred seventeen million, two hundred forty-four thousand, two hundred twenty-five".