4617921634225 has 27 divisors (see below), whose sum is σ = 5780705013153. Its totient is φ = 3659515964640.

The previous prime is 4617921634223. The next prime is 4617921634231. The reversal of 4617921634225 is 5224361297164.

The square root of 4617921634225 is 2148935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16930954161 + 4600990680064 = 130119^2 + 2144992^2 .

It is not a de Polignac number, because 4617921634225 - 2¹ = 4617921634223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4617921634223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1171167604 + ... + 1171171546.

Almost surely, 2^{4617921634225} is an apocalyptic number.

4617921634225 is the 2148935-th square number.

4617921634225 is the 1074468-th centered octagonal number.

It is an amenable number.

4617921634225 is a deficient number, since it is larger than the sum of its proper divisors (1162783378928).

4617921634225 is an frugal number, since it uses more digits than its factorization.

4617921634225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8114 (or 4057 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 4617921634225 in words is "four trillion, six hundred seventeen billion, nine hundred twenty-one million, six hundred thirty-four thousand, two hundred twenty-five".