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131354753 is a prime number
BaseRepresentation
bin1111101010001…
…01000010000001
3100011011111211212
413311011002001
5232111323003
621011215505
73153332315
oct765050201
9304144755
10131354753
1168167852
1237ba7595
13212a130a
1413633b45
15b7e9dd8
hex7d45081

131354753 has 2 divisors, whose sum is σ = 131354754. Its totient is φ = 131354752.

The previous prime is 131354747. The next prime is 131354759. The reversal of 131354753 is 357453131.

It is a balanced prime because it is at equal distance from previous prime (131354747) and next prime (131354759).

It can be written as a sum of positive squares in only one way, i.e., 83302129 + 48052624 = 9127^2 + 6932^2 .

It is a cyclic number.

It is not a de Polignac number, because 131354753 - 26 = 131354689 is a prime.

It is a super-2 number, since 2×1313547532 = 34508142271382018, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131354759) by changing a digit.

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 as a sum of consecutive naturals, namely, 65677376 + 65677377.

It is an arithmetic number, because the mean of its divisors is an integer number (65677377).

Almost surely, 2131354753 is an apocalyptic number.

It is an amenable number.

131354753 is a deficient number, since it is larger than the sum of its proper divisors (1).

131354753 is an equidigital number, since it uses as much as digits as its factorization.

131354753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 32.

The square root of 131354753 is about 11461.0101212764. The cubic root of 131354753 is about 508.3333431754. Note that the first 4 decimals are identical.

The spelling of 131354753 in words is "one hundred thirty-one million, three hundred fifty-four thousand, seven hundred fifty-three".