333384986025 has 567 divisors, whose sum is σ = 797699574261. Its totient is φ = 137687921280.

The previous prime is 333384985981. The next prime is 333384986071. The reversal of 333384986025 is 520689483333.

It is a happy number.

The square root of 333384986025 is 577395.

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 85930473321 + 247454512704 = 293139^2 + 497448^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 333384986025 - 2⁹ = 333384985513 is a prime.

It is a super-2 number, since 2×333384986025² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 7093297552 + ... + 7093297598.

Almost surely, 2^333384986025 is an apocalyptic number.

333384986025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

333384986025 is the 577395-th square number.

333384986025 is the 288698-th centered octagonal number.

It is an amenable number.

333384986025 is an abundant number, since it is smaller than the sum of its proper divisors (464314588236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

333384986025 is an equidigital number, since it uses as much as digits as its factorization.

333384986025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 333384986025 in words is "three hundred thirty-three billion, three hundred eighty-four million, nine hundred eighty-six thousand, twenty-five".