Search a number
-
+
131253525 = 325213231951
BaseRepresentation
bin1111101001011…
…00010100010101
3100010222100222200
413310230110111
5232100103100
621005115113
73152431224
oct764542425
9303870880
10131253525
11680a8797
1237b58a99
1321267210
1413608cbb
15b7c9e00
hex7d2c515

131253525 has 72 divisors (see below), whose sum is σ = 264316416. Its totient is φ = 61776000.

The previous prime is 131253509. The next prime is 131253527. The reversal of 131253525 is 525352131.

It is a happy number.

131253525 is a `hidden beast` number, since 13 + 125 + 3 + 525 = 666.

It is not a de Polignac number, because 131253525 - 24 = 131253509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131253527) 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, 66300 + ... + 68250.

Almost surely, 2131253525 is an apocalyptic number.

131253525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131253525 is an abundant number, since it is smaller than the sum of its proper divisors (133062891).

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

131253525 is a wasteful number, since it uses less digits than its factorization.

131253525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1995 counting only the distinct ones).

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

The square root of 131253525 is about 11456.5930799693. The cubic root of 131253525 is about 508.2027279504.

The spelling of 131253525 in words is "one hundred thirty-one million, two hundred fifty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 23 25 39 45 65 69 75 115 117 195 207 225 299 325 345 575 585 897 975 1035 1495 1725 1951 2691 2925 4485 5175 5853 7475 9755 13455 17559 22425 25363 29265 44873 48775 67275 76089 87795 126815 134619 146325 224365 228267 380445 403857 438975 583349 634075 673095 1121825 1141335 1750047 1902225 2019285 2916745 3365475 5250141 5706675 8750235 10096425 14583725 26250705 43751175 131253525