1005213225 has 48 divisors (see below), whose sum is σ = 1765869120. Its totient is φ = 503596800.

The previous prime is 1005213217. The next prime is 1005213227. The reversal of 1005213225 is 5223125001.

It is not a de Polignac number, because 1005213225 - 2³ = 1005213217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005213227) 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 47 ways as a sum of consecutive naturals, for example, 74230 + ... + 86720.

It is an arithmetic number, because the mean of its divisors is an integer number (36788940).

Almost surely, 2^1005213225 is an apocalyptic number.

1005213225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005213225 is a deficient number, since it is larger than the sum of its proper divisors (760655895).

1005213225 is a wasteful number, since it uses less digits than its factorization.

1005213225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12570 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1005213225 is about 31705.0977762252. The cubic root of 1005213225 is about 1001.7347306362.

Adding to 1005213225 its reverse (5223125001), we get a palindrome (6228338226).

The spelling of 1005213225 in words is "one billion, five million, two hundred thirteen thousand, two hundred twenty-five".