332034312033225 has 18 divisors (see below), whose sum is σ = 594710345553246. Its totient is φ = 177084966417600.

The previous prime is 332034312033191. The next prime is 332034312033269. The reversal of 332034312033225 is 522330213430233.

332034312033225 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 3 + 4 + 312 + 0 + 332 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4218193022976 + 327816119010249 = 2053824^2 + 18105693^2 .

It is not a de Polignac number, because 332034312033225 - 2⁷ = 332034312033097 is a prime.

It is a super-2 number, since 2×332034312033225² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332034312033225.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 737854026516 + ... + 737854026965.

It is an arithmetic number, because the mean of its divisors is an integer number (33039463641847).

Almost surely, 2^{332034312033225} is an apocalyptic number.

It is an amenable number.

332034312033225 is a deficient number, since it is larger than the sum of its proper divisors (262676033520021).

332034312033225 is a wasteful number, since it uses less digits than its factorization.

332034312033225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475708053497 (or 1475708053489 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 332034312033225 its reverse (522330213430233), we get a palindrome (854364525463458).

The spelling of 332034312033225 in words is "three hundred thirty-two trillion, thirty-four billion, three hundred twelve million, thirty-three thousand, two hundred twenty-five".