616777225 has 9 divisors (see below), whose sum is σ = 764957767. Its totient is φ = 493322440.

The previous prime is 616777207. The next prime is 616777243. The reversal of 616777225 is 522777616.

The square root of 616777225 is 24835.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (616777207) and next prime (616777243).

It can be written as a sum of positive squares in only one way, i.e., 222039801 + 394737424 = 14901^2 + 19868^2 .

It is not a de Polignac number, because 616777225 - 2⁷ = 616777097 is a prime.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 121692 + ... + 126658.

Almost surely, 2^616777225 is an apocalyptic number.

616777225 is the 24835-th square number.

616777225 is the 12418-th centered octagonal number.

It is an amenable number.

616777225 is a deficient number, since it is larger than the sum of its proper divisors (148180542).

616777225 is an frugal number, since it uses more digits than its factorization.

616777225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944 (or 4972 counting only the distinct ones).

The product of its digits is 246960, while the sum is 43.

The cubic root of 616777225 is about 851.2218759284.

The spelling of 616777225 in words is "six hundred sixteen million, seven hundred seventy-seven thousand, two hundred twenty-five".