1504205225 has 18 divisors (see below), whose sum is σ = 1877939514. Its totient is φ = 1195209600.

The previous prime is 1504205191. The next prime is 1504205257. The reversal of 1504205225 is 5225024051.

It can be written as a sum of positive squares in 9 ways, for example, as 1040965696 + 463239529 = 32264^2 + 21523^2 .

It is not a de Polignac number, because 1504205225 - 2⁸ = 1504204969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1504205194 and 1504205203.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 615005 + ... + 617445.

It is an arithmetic number, because the mean of its divisors is an integer number (104329973).

Almost surely, 2^1504205225 is an apocalyptic number.

It is an amenable number.

1504205225 is a deficient number, since it is larger than the sum of its proper divisors (373734289).

1504205225 is an equidigital number, since it uses as much as digits as its factorization.

1504205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 1504205225 is about 38784.0846868919. The cubic root of 1504205225 is about 1145.7829735516.

Adding to 1504205225 its reverse (5225024051), we get a palindrome (6729229276).

The spelling of 1504205225 in words is "one billion, five hundred four million, two hundred five thousand, two hundred twenty-five".