10258651225 has 27 divisors (see below), whose sum is σ = 13027365631. Its totient is φ = 8013669200.

The previous prime is 10258651219. The next prime is 10258651229. The reversal of 10258651225 is 52215685201.

The square root of 10258651225 is 101285.

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

10258651225 is digitally balanced in base 2, 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 only one way, i.e., 3693114441 + 6565536784 = 60771^2 + 81028^2 .

It is not a de Polignac number, because 10258651225 - 2¹³ = 10258643033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10258651229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23801760 + ... + 23802190.

Almost surely, 2^10258651225 is an apocalyptic number.

10258651225 is the 101285-th square number.

10258651225 is the 50643-rd centered octagonal number.

It is an amenable number.

10258651225 is a deficient number, since it is larger than the sum of its proper divisors (2768714406).

10258651225 is an frugal number, since it uses more digits than its factorization.

10258651225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 10258651225 in words is "ten billion, two hundred fifty-eight million, six hundred fifty-one thousand, two hundred twenty-five".