433800063225 has 81 divisors (see below), whose sum is σ = 820385315919. Its totient is φ = 219088346400.

The previous prime is 433800063211. The next prime is 433800063289. The reversal of 433800063225 is 522360008334.

It is a happy number.

The square root of 433800063225 is 658635.

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

433800063225 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 156168022761 + 277632040464 = 395181^2 + 526908^2 .

It is a de Polignac number, because none of the positive numbers 2^k-433800063225 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 433800063225.

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, 187709820 + ... + 187712130.

Almost surely, 2^433800063225 is an apocalyptic number.

433800063225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

433800063225 is the 658635-th square number.

433800063225 is the 329318-th centered octagonal number.

It is an amenable number.

433800063225 is a deficient number, since it is larger than the sum of its proper divisors (386585252694).

433800063225 is an equidigital number, since it uses as much as digits as its factorization.

433800063225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 433800063225 by its sum of digits (36), we get a square (15616802276100 = 3951810²).

The spelling of 433800063225 in words is "four hundred thirty-three billion, eight hundred million, sixty-three thousand, two hundred twenty-five".