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132525531 = 336773259
BaseRepresentation
bin1111110011000…
…10110111011011
3100020100222212000
413321202313123
5232411304111
621052252043
73166306545
oct771426733
9306328760
10132525531
1168897436
1238471023
13215c1198
141385a695
15b97bc56
hex7e62ddb

132525531 has 16 divisors (see below), whose sum is σ = 199267200. Its totient is φ = 87030504.

The previous prime is 132525521. The next prime is 132525553. The reversal of 132525531 is 135525231.

It is a happy number.

132525531 is a `hidden beast` number, since 132 + 525 + 5 + 3 + 1 = 666.

It is not a de Polignac number, because 132525531 - 214 = 132509147 is a prime.

It is a super-4 number, since 4×1325255314 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 132525495 and 132525504.

It is not an unprimeable number, because it can be changed into a prime (132525511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34821 + ... + 38438.

It is an arithmetic number, because the mean of its divisors is an integer number (12454200).

Almost surely, 2132525531 is an apocalyptic number.

132525531 is a deficient number, since it is larger than the sum of its proper divisors (66741669).

132525531 is an equidigital number, since it uses as much as digits as its factorization.

132525531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73335 (or 73329 counting only the distinct ones).

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

The square root of 132525531 is about 11511.9733755773. The cubic root of 132525531 is about 509.8391534289.

The spelling of 132525531 in words is "one hundred thirty-two million, five hundred twenty-five thousand, five hundred thirty-one".

Divisors: 1 3 9 27 67 201 603 1809 73259 219777 659331 1977993 4908353 14725059 44175177 132525531