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332825888528233 is a prime number
BaseRepresentation
bin100101110101101000001000…
…0110110111001011101101001
31121122102211210102110102200221
41023223100100312321131221
5322111004404430400413
63135510034041530041
7130050606533300152
oct11353202066713551
91548384712412627
10332825888528233
1197059737359531
12313b3a787a3921
1311393467699249
145c28c04d92929
1528728725dc68d
hex12eb410db9769

332825888528233 has 2 divisors, whose sum is σ = 332825888528234. Its totient is φ = 332825888528232.

The previous prime is 332825888528183. The next prime is 332825888528251.

332825888528233 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319032003392089 + 13793885136144 = 17861467^2 + 3714012^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332825888528233 - 221 = 332825886431081 is a prime.

It is a super-2 number, since 2×3328258885282332 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332825888528033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166412944264116 + 166412944264117.

It is an arithmetic number, because the mean of its divisors is an integer number (166412944264117).

Almost surely, 2332825888528233 is an apocalyptic number.

It is an amenable number.

332825888528233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332825888528233 is an equidigital number, since it uses as much as digits as its factorization.

332825888528233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1061683200, while the sum is 70.

The spelling of 332825888528233 in words is "three hundred thirty-two trillion, eight hundred twenty-five billion, eight hundred eighty-eight million, five hundred twenty-eight thousand, two hundred thirty-three".