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132563025 = 32527174951
BaseRepresentation
bin1111110011011…
…00000001010001
3100020102220021200
413321230001101
5232414004100
621053141413
73166524060
oct771540121
9306386250
10132563025
1168912621
123848a869
132160527a
141386a1d7
15b987e00
hex7e6c051

132563025 has 72 divisors (see below), whose sum is σ = 287374464. Its totient is φ = 57024000.

The previous prime is 132563021. The next prime is 132563033. The reversal of 132563025 is 520365231.

132563025 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 630 + 25 = 666.

It is not a de Polignac number, because 132563025 - 22 = 132563021 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132563025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132563021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24300 + ... + 29250.

It is an arithmetic number, because the mean of its divisors is an integer number (3991312).

Almost surely, 2132563025 is an apocalyptic number.

132563025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132563025 is an abundant number, since it is smaller than the sum of its proper divisors (154811439).

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

132563025 is a wasteful number, since it uses less digits than its factorization.

132563025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 132563025 is about 11513.6017388131. The cubic root of 132563025 is about 509.8872299683.

The spelling of 132563025 in words is "one hundred thirty-two million, five hundred sixty-three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 1071 1275 1575 1785 2975 3825 4951 5355 8925 14853 24755 26775 34657 44559 74265 84167 103971 123775 173285 222795 252501 311913 371325 420835 519855 589169 757503 866425 1113975 1262505 1559565 1767507 2104175 2599275 2945845 3787515 5302521 6312525 7797825 8837535 14729225 18937575 26512605 44187675 132563025