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132013825 = 525280553
BaseRepresentation
bin1111101111001…
…01111100000001
3100012101222220221
413313211330001
5232243420300
621033303041
73162045646
oct767457401
9305358827
10132013825
1168577a39
1238264a81
13214722b8
1413765dcd
15b8ca31a
hex7de5f01

132013825 has 6 divisors (see below), whose sum is σ = 163697174. Its totient is φ = 105611040.

The previous prime is 132013811. The next prime is 132013867. The reversal of 132013825 is 528310231.

It can be written as a sum of positive squares in 3 ways, for example, as 3690241 + 128323584 = 1921^2 + 11328^2 .

It is not a de Polignac number, because 132013825 - 25 = 132013793 is a prime.

It is a super-2 number, since 2×1320138252 = 34855299982261250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 5280553 = 132013825 / (1 + 3 + 2 + 0 + 1 + 3 + 8 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132013825.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2640252 + ... + 2640301.

Almost surely, 2132013825 is an apocalyptic number.

It is an amenable number.

132013825 is a deficient number, since it is larger than the sum of its proper divisors (31683349).

132013825 is an equidigital number, since it uses as much as digits as its factorization.

132013825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280563 (or 5280558 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 132013825 is about 11489.7269332217. The cubic root of 132013825 is about 509.1821120953.

The spelling of 132013825 in words is "one hundred thirty-two million, thirteen thousand, eight hundred twenty-five".

Divisors: 1 5 25 5280553 26402765 132013825