1005300225 has 72 divisors (see below), whose sum is σ = 1906544640. Its totient is φ = 505491840.

The previous prime is 1005300223. The next prime is 1005300229. The reversal of 1005300225 is 5220035001.

It is a happy number.

It is not a de Polignac number, because 1005300225 - 2¹ = 1005300223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005300198 and 1005300207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005300221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 278784 + ... + 282366.

Almost surely, 2^1005300225 is an apocalyptic number.

1005300225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005300225 is a deficient number, since it is larger than the sum of its proper divisors (901244415).

1005300225 is a wasteful number, since it uses less digits than its factorization.

1005300225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1005300225 is about 31706.4697656488. The cubic root of 1005300225 is about 1001.7636294493.

Adding to 1005300225 its reverse (5220035001), we get a palindrome (6225335226).

The spelling of 1005300225 in words is "one billion, five million, three hundred thousand, two hundred twenty-five".