1005012630225 has 36 divisors (see below), whose sum is σ = 1802314694700. Its totient is φ = 535344084480.

The previous prime is 1005012630217. The next prime is 1005012630239. The reversal of 1005012630225 is 5220362105001.

It is a happy number.

1005012630225 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 1 + 2 + 630 + 2 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 116455657536 + 888556972689 = 341256^2 + 942633^2 .

It is not a de Polignac number, because 1005012630225 - 2³ = 1005012630217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2578620 + ... + 2942669.

It is an arithmetic number, because the mean of its divisors is an integer number (50064297075).

Almost surely, 2^{1005012630225} is an apocalyptic number.

1005012630225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005012630225 is a deficient number, since it is larger than the sum of its proper divisors (797302064475).

1005012630225 is a wasteful number, since it uses less digits than its factorization.

1005012630225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522114 (or 5522106 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1005012630225 its reverse (5220362105001), we get a palindrome (6225374735226).

The spelling of 1005012630225 in words is "one trillion, five billion, twelve million, six hundred thirty thousand, two hundred twenty-five".