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125353125 = 32554457
BaseRepresentation
bin1110111100010…
…11110010100101
322201212121011100
413132023302211
5224042300000
620234430313
73051325002
oct736136245
9281777140
10125353125
1164838727
1235b92399
131cc7c661
14129108a9
15b011a00
hex778bca5

125353125 has 36 divisors (see below), whose sum is σ = 226368324. Its totient is φ = 66840000.

The previous prime is 125353099. The next prime is 125353139. The reversal of 125353125 is 521353521.

It is a happy number.

125353125 is a `hidden beast` number, since 1 + 2 + 535 + 3 + 125 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 92794689 + 32558436 = 9633^2 + 5706^2 .

It is not a de Polignac number, because 125353125 - 211 = 125351077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25897 + ... + 30353.

It is an arithmetic number, because the mean of its divisors is an integer number (6288009).

Almost surely, 2125353125 is an apocalyptic number.

125353125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125353125 is a deficient number, since it is larger than the sum of its proper divisors (101015199).

125353125 is an frugal number, since it uses more digits than its factorization.

125353125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4465 counting only the distinct ones).

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

The square root of 125353125 is about 11196.1209800538. The cubic root of 125353125 is about 500.4703906598.

The spelling of 125353125 in words is "one hundred twenty-five million, three hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3125 4457 5625 9375 13371 22285 28125 40113 66855 111425 200565 334275 557125 1002825 1671375 2785625 5014125 8356875 13928125 25070625 41784375 125353125