10017007225 has 27 divisors (see below), whose sum is σ = 12789507591. Its totient is φ = 7782609600.

The previous prime is 10017007201. The next prime is 10017007267. The reversal of 10017007225 is 52270071001.

It is a happy number.

The square root of 10017007225 is 100085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2968397289 + 7048609936 = 54483^2 + 83956^2 .

It is not a de Polignac number, because 10017007225 - 2¹⁹ = 10016482937 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10017007225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18515455 + ... + 18515995.

Almost surely, 2^10017007225 is an apocalyptic number.

10017007225 is the 100085-th square number.

10017007225 is the 50043-rd centered octagonal number.

It is an amenable number.

10017007225 is a deficient number, since it is larger than the sum of its proper divisors (2772500366).

10017007225 is an frugal number, since it uses more digits than its factorization.

10017007225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

Multiplying 10017007225 by its sum of digits (25), we get a square (250425180625 = 500425²).

10017007225 divided by its sum of digits (25) gives a square (400680289 = 20017²).

Adding to 10017007225 its reverse (52270071001), we get a palindrome (62287078226).

The spelling of 10017007225 in words is "ten billion, seventeen million, seven thousand, two hundred twenty-five".