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252405125 = 5374292
BaseRepresentation
bin11110000101101…
…10010110000101
3122120221111201222
433002312112011
51004103431000
641013530125
76153260000
oct1702662605
9576844658
10252405125
1111a526785
1270643945
13403a535b
1425744537
151725ba85
hexf0b6585

252405125 has 60 divisors (see below), whose sum is σ = 380588676. Its totient is φ = 167109600.

The previous prime is 252405091. The next prime is 252405199. The reversal of 252405125 is 521504252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

252405125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 76073284 + 176331841 = 8722^2 + 13279^2 .

It is not a de Polignac number, because 252405125 - 210 = 252404101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252405094 and 252405103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8703611 + ... + 8703639.

Almost surely, 2252405125 is an apocalyptic number.

252405125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252405125 is a deficient number, since it is larger than the sum of its proper divisors (128183551).

252405125 is an frugal number, since it uses more digits than its factorization.

252405125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 252405125 is about 15887.2629801360. The cubic root of 252405125 is about 631.9742593867.

Adding to 252405125 its reverse (521504252), we get a palindrome (773909377).

The spelling of 252405125 in words is "two hundred fifty-two million, four hundred five thousand, one hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 125 145 175 203 245 343 725 841 875 1015 1225 1421 1715 2401 3625 4205 5075 5887 6125 7105 8575 9947 12005 21025 25375 29435 35525 41209 42875 49735 60025 69629 105125 147175 177625 206045 248675 288463 300125 348145 735875 1030225 1243375 1442315 1740725 2019241 5151125 7211575 8703625 10096205 36057875 50481025 252405125