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53125 = 5517
BaseRepresentation
bin1100111110000101
32200212121
430332011
53200000
61045541
7310612
oct147605
980777
1053125
1136a06
12268b1
131b247
1415509
1510b1a
hexcf85

53125 has 12 divisors (see below), whose sum is σ = 70308. Its totient is φ = 40000.

The previous prime is 53117. The next prime is 53129. The reversal of 53125 is 52135.

Subtracting from 53125 its product of digits (150), we obtain a triangular number (52975 = T325).

Subtracting from 53125 its reverse (52135), we obtain a triangular number (990 = T44).

It can be divided in two parts, 5 and 3125, that multiplied together give a 6-th power (15625 = 56).

It can be written as a sum of positive squares in 6 ways, for example, as 37249 + 15876 = 193^2 + 126^2 .

It is not a de Polignac number, because 53125 - 23 = 53117 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 53099 and 53108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3117 + ... + 3133.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

253125 is an apocalyptic number.

It is an amenable number.

53125 is a deficient number, since it is larger than the sum of its proper divisors (17183).

53125 is an frugal number, since it uses more digits than its factorization.

53125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

The product of its digits is 150, while the sum is 16.

The square root of 53125 is about 230.4886114323. The cubic root of 53125 is about 37.5923649051.

The spelling of 53125 in words is "fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 625 2125 3125 10625 53125