335918772225 has 27 divisors (see below), whose sum is σ = 601683417283. Its totient is φ = 179152041840.

The previous prime is 335918772199. The next prime is 335918772227. The reversal of 335918772225 is 522277819533.

The square root of 335918772225 is 579585.

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

335918772225 is a `hidden beast` number, since 3 + 3 + 591 + 8 + 7 + 7 + 22 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120930758001 + 214988014224 = 347751^2 + 463668^2 .

It is not a de Polignac number, because 335918772225 - 2¹¹ = 335918770177 is a prime.

It is a super-2 number, since 2×335918772225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (335918772227) 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, 8674456 + ... + 8713094.

Almost surely, 2^335918772225 is an apocalyptic number.

335918772225 is the 579585-th square number.

335918772225 is the 289793-rd centered octagonal number.

It is an amenable number.

335918772225 is a deficient number, since it is larger than the sum of its proper divisors (265764645058).

335918772225 is an frugal number, since it uses more digits than its factorization.

335918772225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77294 (or 38647 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 335918772225 in words is "three hundred thirty-five billion, nine hundred eighteen million, seven hundred seventy-two thousand, two hundred twenty-five".