4318461225 has 81 divisors (see below), whose sum is σ = 8400527343. Its totient is φ = 2119703040.

The previous prime is 4318461197. The next prime is 4318461239. The reversal of 4318461225 is 5221648134.

It is a happy number.

The square root of 4318461225 is 65715.

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

4318461225 is a `hidden beast` number, since 4 + 3 + 18 + 4 + 612 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4317672681 + 788544 = 65709^2 + 888^2 .

It is not a de Polignac number, because 4318461225 - 2¹¹ = 4318459177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4318461225.

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, 12814257 + ... + 12814593.

Almost surely, 2^4318461225 is an apocalyptic number.

4318461225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4318461225 is the 65715-th square number.

4318461225 is the 32858-th centered octagonal number.

It is an amenable number.

4318461225 is a deficient number, since it is larger than the sum of its proper divisors (4082066118).

4318461225 is a wasteful number, since it uses less digits than its factorization.

4318461225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 358 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The cubic root of 4318461225 is about 1628.4571730126.

Multiplying 4318461225 by its sum of digits (36), we get a square (155464604100 = 394290²).

The spelling of 4318461225 in words is "four billion, three hundred eighteen million, four hundred sixty-one thousand, two hundred twenty-five".