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131596825 = 526186293
BaseRepresentation
bin1111101100000…
…00001000011001
3100011121210220111
413312000020121
5232142044300
621020324321
73155361133
oct766001031
9304553814
10131596825
1168312708
12380a36a1
1321357559
1413698053
15b8469ba
hex7d80219

131596825 has 12 divisors (see below), whose sum is σ = 165857068. Its totient is φ = 103550400.

The previous prime is 131596819. The next prime is 131596841. The reversal of 131596825 is 528695131.

It can be written as a sum of positive squares in 6 ways, for example, as 66520336 + 65076489 = 8156^2 + 8067^2 .

It is not a de Polignac number, because 131596825 - 29 = 131596313 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41622 + ... + 44671.

Almost surely, 2131596825 is an apocalyptic number.

It is an amenable number.

131596825 is a deficient number, since it is larger than the sum of its proper divisors (34260243).

131596825 is an equidigital number, since it uses as much as digits as its factorization.

131596825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86364 (or 86359 counting only the distinct ones).

The product of its digits is 64800, while the sum is 40.

The square root of 131596825 is about 11471.5659349541. The cubic root of 131596825 is about 508.6454185601.

The spelling of 131596825 in words is "one hundred thirty-one million, five hundred ninety-six thousand, eight hundred twenty-five".

Divisors: 1 5 25 61 305 1525 86293 431465 2157325 5263873 26319365 131596825