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63253125 = 325513173
BaseRepresentation
bin1111000101001…
…0101010000101
311102000120222100
43301102222011
5112143100000
610135422313
71365433305
oct361225205
9142016870
1063253125
1132783011
1219224999
13101488b0
148587605
155846a00
hex3c52a85

63253125 has 72 divisors (see below), whose sum is σ = 123695208. Its totient is φ = 30960000.

The previous prime is 63253121. The next prime is 63253139. The reversal of 63253125 is 52135236.

63253125 is a `hidden beast` number, since 632 + 5 + 3 + 1 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 62821476 + 431649 = 7926^2 + 657^2 .

It is not a de Polignac number, because 63253125 - 22 = 63253121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63253121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365539 + ... + 365711.

It is an arithmetic number, because the mean of its divisors is an integer number (1717989).

Almost surely, 263253125 is an apocalyptic number.

63253125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63253125 is a deficient number, since it is larger than the sum of its proper divisors (60442083).

63253125 is a wasteful number, since it uses less digits than its factorization.

63253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

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

The square root of 63253125 is about 7953.1833249335. The cubic root of 63253125 is about 398.4379181080.

The spelling of 63253125 in words is "sixty-three million, two hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 173 195 225 325 375 519 585 625 865 975 1125 1557 1625 1875 2249 2595 2925 3125 4325 4875 5625 6747 7785 8125 9375 11245 12975 14625 20241 21625 24375 28125 33735 38925 40625 56225 64875 73125 101205 108125 121875 168675 194625 281125 324375 365625 506025 540625 843375 973125 1405625 1621875 2530125 4216875 4865625 7028125 12650625 21084375 63253125