611820225 has 81 divisors (see below), whose sum is σ = 1176215547. Its totient is φ = 303943680.

The previous prime is 611820203. The next prime is 611820233. The reversal of 611820225 is 522028116.

It is a happy number.

The square root of 611820225 is 24735.

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

611820225 is a `hidden beast` number, since 611 + 8 + 20 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 243640881 + 368179344 = 15609^2 + 19188^2 .

It is a de Polignac number, because none of the positive numbers 2^k-611820225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6307377 + ... + 6307473.

Almost surely, 2^611820225 is an apocalyptic number.

611820225 is the 24735-th square number.

611820225 is the 12368-th centered octagonal number.

It is an amenable number.

611820225 is a deficient number, since it is larger than the sum of its proper divisors (564395322).

611820225 is a wasteful number, since it uses less digits than its factorization.

611820225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The cubic root of 611820225 is about 848.9353336771.

It can be divided in two parts, 611 and 820225, that added together give a square (820836 = 906²).

The spelling of 611820225 in words is "six hundred eleven million, eight hundred twenty thousand, two hundred twenty-five".