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163313325 = 32527214813
BaseRepresentation
bin10011011101111…
…11011010101101
3102101022011202200
421232333122231
5313302011300
624112212113
74022066100
oct1156773255
9371264680
10163313325
118420579a
124683a039
1327ab0906
1417992737
15e50e200
hex9bbf6ad

163313325 has 54 divisors (see below), whose sum is σ = 340292394. Its totient is φ = 74652480.

The previous prime is 163313323. The next prime is 163313327. The reversal of 163313325 is 523313361.

It is a happy number.

163313325 is a `hidden beast` number, since 1 + 6 + 331 + 3 + 325 = 666.

It is an interprime number because it is at equal distance from previous prime (163313323) and next prime (163313327).

It can be written as a sum of positive squares in 3 ways, for example, as 3493161 + 159820164 = 1869^2 + 12642^2 .

It is not a de Polignac number, because 163313325 - 21 = 163313323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163313323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3619 + ... + 18431.

It is an arithmetic number, because the mean of its divisors is an integer number (6301711).

Almost surely, 2163313325 is an apocalyptic number.

163313325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163313325 is an abundant number, since it is smaller than the sum of its proper divisors (176979069).

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

163313325 is a wasteful number, since it uses less digits than its factorization.

163313325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14843 (or 14828 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 163313325 is about 12779.4101976578. The cubic root of 163313325 is about 546.6053443922.

Adding to 163313325 its reverse (523313361), we get a palindrome (686626686).

The spelling of 163313325 in words is "one hundred sixty-three million, three hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 14813 44439 74065 103691 133317 222195 311073 370325 518455 666585 725837 933219 1110975 1555365 2177511 2592275 3332925 3629185 4666095 6532533 7776825 10887555 18145925 23330475 32662665 54437775 163313325