1617310225 has 24 divisors (see below), whose sum is σ = 2035282680. Its totient is φ = 1274718720.

The previous prime is 1617310169. The next prime is 1617310259. The reversal of 1617310225 is 5220137161.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1260818064 + 356492161 = 35508^2 + 18881^2 .

It is not a de Polignac number, because 1617310225 - 2¹⁷ = 1617179153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1617310193 and 1617310202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704179 + ... + 706471.

It is an arithmetic number, because the mean of its divisors is an integer number (84803445).

Almost surely, 2^1617310225 is an apocalyptic number.

It is an amenable number.

1617310225 is a deficient number, since it is larger than the sum of its proper divisors (417972455).

1617310225 is a wasteful number, since it uses less digits than its factorization.

1617310225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1617310225 is about 40215.7957151167. The cubic root of 1617310225 is about 1173.8099252889.

Adding to 1617310225 its reverse (5220137161), we get a palindrome (6837447386).

The spelling of 1617310225 in words is "one billion, six hundred seventeen million, three hundred ten thousand, two hundred twenty-five".