Search a number
-
+
63055125 = 3353717157
BaseRepresentation
bin1111000010001…
…0010100010101
311101122112101000
43300202110111
5112120231000
610131253513
71363650120
oct360422425
9141575330
1063055125
1132658281
121914a299
13100a9733
1485353b7
155808000
hex3c22515

63055125 has 128 divisors (see below), whose sum is σ = 141972480. Its totient is φ = 26956800.

The previous prime is 63055123. The next prime is 63055127. The reversal of 63055125 is 52155036.

63055125 is a `hidden beast` number, since 630 + 5 + 5 + 1 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (63055123) and next prime (63055127).

It is not a de Polignac number, because 63055125 - 21 = 63055123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63055123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 401547 + ... + 401703.

It is an arithmetic number, because the mean of its divisors is an integer number (1109160).

Almost surely, 263055125 is an apocalyptic number.

It is an amenable number.

63055125 is an abundant number, since it is smaller than the sum of its proper divisors (78917355).

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

63055125 is a wasteful number, since it uses less digits than its factorization.

63055125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 63055125 is about 7940.7257225017. The cubic root of 63055125 is about 398.0217427917.

It can be divided in two parts, 630 and 55125, that added together give a palindrome (55755).

The spelling of 63055125 in words is "sixty-three million, fifty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 85 105 119 125 135 153 157 175 189 225 255 315 357 375 425 459 471 525 595 675 765 785 875 945 1071 1099 1125 1275 1413 1575 1785 2125 2295 2355 2625 2669 2975 3213 3297 3375 3825 3925 4239 4725 5355 5495 6375 7065 7875 8007 8925 9891 11475 11775 13345 14875 16065 16485 18683 19125 19625 21195 23625 24021 26775 27475 29673 35325 40035 44625 49455 56049 57375 58875 66725 72063 80325 82425 93415 105975 120105 133875 137375 148365 168147 176625 200175 247275 280245 333625 360315 401625 412125 467075 504441 529875 600525 741825 840735 1000875 1236375 1401225 1801575 2335375 2522205 3002625 3709125 4203675 7006125 9007875 12611025 21018375 63055125