1002312225 has 120 divisors (see below), whose sum is σ = 1980528000. Its totient is φ = 499685760.

The previous prime is 1002312127. The next prime is 1002312229. The reversal of 1002312225 is 5222132001.

1002312225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002312225 - 2⁸ = 1002311969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002312198 and 1002312207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002312229) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4193656 + ... + 4193894.

It is an arithmetic number, because the mean of its divisors is an integer number (16504400).

Almost surely, 2^1002312225 is an apocalyptic number.

1002312225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002312225 is a deficient number, since it is larger than the sum of its proper divisors (978215775).

1002312225 is a wasteful number, since it uses less digits than its factorization.

1002312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1002312225 is about 31659.3149799550. The cubic root of 1002312225 is about 1000.7701483859.

Adding to 1002312225 its reverse (5222132001), we get a palindrome (6224444226).

It can be divided in two parts, 100 and 2312225, that added together give a triangular number (2312325 = T₂₁₅₀).

The spelling of 1002312225 in words is "one billion, two million, three hundred twelve thousand, two hundred twenty-five".