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131212825 = 525248513
BaseRepresentation
bin1111101001000…
…10011000011001
3100010220022011021
413310202120121
5232042302300
621004202441
73152201452
oct764423031
9303808137
10131212825
1168080157
1237b39421
1321251833
14135d8129
15b7bcd1a
hex7d22619

131212825 has 6 divisors (see below), whose sum is σ = 162703934. Its totient is φ = 104970240.

The previous prime is 131212813. The next prime is 131212847. The reversal of 131212825 is 528212131.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 131171209 = 204^2 + 11453^2 .

It is not a de Polignac number, because 131212825 - 25 = 131212793 is a prime.

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: 5248513 = 131212825 / (1 + 3 + 1 + 2 + 1 + 2 + 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 131212825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2624232 + ... + 2624281.

Almost surely, 2131212825 is an apocalyptic number.

It is an amenable number.

131212825 is a deficient number, since it is larger than the sum of its proper divisors (31491109).

131212825 is an equidigital number, since it uses as much as digits as its factorization.

131212825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248523 (or 5248518 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 131212825 is about 11454.8166724745. The cubic root of 131212825 is about 508.1501935154.

Adding to 131212825 its reverse (528212131), we get a palindrome (659424956).

The spelling of 131212825 in words is "one hundred thirty-one million, two hundred twelve thousand, eight hundred twenty-five".

Divisors: 1 5 25 5248513 26242565 131212825