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131505967 is a prime number
BaseRepresentation
bin1111101011010…
…01111100101111
3100011110012021101
413311221330233
5232131142332
621014343531
73154532215
oct765517457
9304405241
10131505967
116826041a
123805aba7
13213250a8
1413672cb5
15b829ae7
hex7d69f2f

131505967 has 2 divisors, whose sum is σ = 131505968. Its totient is φ = 131505966.

The previous prime is 131505919. The next prime is 131505977. The reversal of 131505967 is 769505131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131505967 - 27 = 131505839 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131505977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65752983 + 65752984.

It is an arithmetic number, because the mean of its divisors is an integer number (65752984).

Almost surely, 2131505967 is an apocalyptic number.

131505967 is a deficient number, since it is larger than the sum of its proper divisors (1).

131505967 is an equidigital number, since it uses as much as digits as its factorization.

131505967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 131505967 is about 11467.6051117921. The cubic root of 131505967 is about 508.5283307671.

It can be divided in two parts, 13 and 1505967, that added together give a triangular number (1505980 = T1735).

The spelling of 131505967 in words is "one hundred thirty-one million, five hundred five thousand, nine hundred sixty-seven".