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131607625 = 531761933
BaseRepresentation
bin1111101100000…
…10110001001001
3100011122100201111
413312002301021
5232142421000
621020450321
73155434462
oct766026111
9304570644
10131607625
116831a836
12380a99a1
132135c446
141369bd69
15b849cba
hex7d82c49

131607625 has 16 divisors (see below), whose sum is σ = 173910672. Its totient is φ = 99091200.

The previous prime is 131607613. The next prime is 131607691. The reversal of 131607625 is 526706131.

It can be written as a sum of positive squares in 8 ways, for example, as 28869129 + 102738496 = 5373^2 + 10136^2 .

It is not a de Polignac number, because 131607625 - 221 = 129510473 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 28842 + ... + 33091.

It is an arithmetic number, because the mean of its divisors is an integer number (10869417).

Almost surely, 2131607625 is an apocalyptic number.

It is an amenable number.

131607625 is a deficient number, since it is larger than the sum of its proper divisors (42303047).

131607625 is an equidigital number, since it uses as much as digits as its factorization.

131607625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61965 (or 61955 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 131607625 is about 11472.0366544045. The cubic root of 131607625 is about 508.6593328276.

The spelling of 131607625 in words is "one hundred thirty-one million, six hundred seven thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 61933 309665 1052861 1548325 5264305 7741625 26321525 131607625