433168004025 has 243 divisors, whose sum is σ = 863273298901. Its totient is φ = 207576821760.

The previous prime is 433168003951. The next prime is 433168004047. The reversal of 433168004025 is 520400861334.

The square root of 433168004025 is 658155.

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

433168004025 is a `hidden beast` number, since 433 + 168 + 0 + 0 + 40 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 422992843641 + 10175160384 = 650379^2 + 100872^2 .

It is not a de Polignac number, because 433168004025 - 2¹³ = 433167995833 is a prime.

It is a super-2 number, since 2×433168004025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4867056181 + ... + 4867056269.

Almost surely, 2^433168004025 is an apocalyptic number.

433168004025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

433168004025 is the 658155-th square number.

433168004025 is the 329078-th centered octagonal number.

It is an amenable number.

433168004025 is a deficient number, since it is larger than the sum of its proper divisors (430105294876).

433168004025 is a wasteful number, since it uses less digits than its factorization.

433168004025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 433168004025 by its sum of digits (36), we get a square (15594048144900 = 3948930²).

Adding to 433168004025 its reverse (520400861334), we get a palindrome (953568865359).

The spelling of 433168004025 in words is "four hundred thirty-three billion, one hundred sixty-eight million, four thousand, twenty-five".