10007001225 has 243 divisors, whose sum is σ = 21270465333. Its totient is φ = 4667232960.

The previous prime is 10007001143. The next prime is 10007001239. The reversal of 10007001225 is 52210070001.

The square root of 10007001225 is 100035.

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

10007001225 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 2579319369 + 7427681856 = 50787^2 + 86184^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 10007001225 - 2⁹ = 10007000713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10007001198 and 10007001207.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 526684266 + ... + 526684284.

Almost surely, 2^10007001225 is an apocalyptic number.

10007001225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10007001225 is the 100035-th square number.

10007001225 is the 50018-th centered octagonal number.

It is an amenable number.

10007001225 is an abundant number, since it is smaller than the sum of its proper divisors (11263464108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10007001225 is an frugal number, since it uses more digits than its factorization.

10007001225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 10007001225 its reverse (52210070001), we get a palindrome (62217071226).

The spelling of 10007001225 in words is "ten billion, seven million, one thousand, two hundred twenty-five".