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164825509 is a prime number
BaseRepresentation
bin10011101001100…
…00100110100101
3102111011000002111
421310300212211
5314143404014
624204441021
74040664562
oct1164604645
9374130074
10164825509
1185048932
1247249171
13281bccb4
1417c67869
15e70c2c4
hex9d309a5

164825509 has 2 divisors, whose sum is σ = 164825510. Its totient is φ = 164825508.

The previous prime is 164825503. The next prime is 164825539. The reversal of 164825509 is 905528461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94517284 + 70308225 = 9722^2 + 8385^2 .

It is a cyclic number.

It is not a de Polignac number, because 164825509 - 29 = 164824997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164825503) by changing a digit.

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 as a sum of consecutive naturals, namely, 82412754 + 82412755.

It is an arithmetic number, because the mean of its divisors is an integer number (82412755).

Almost surely, 2164825509 is an apocalyptic number.

It is an amenable number.

164825509 is a deficient number, since it is larger than the sum of its proper divisors (1).

164825509 is an equidigital number, since it uses as much as digits as its factorization.

164825509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 164825509 is about 12838.4387290667. The cubic root of 164825509 is about 548.2872437392.

The spelling of 164825509 in words is "one hundred sixty-four million, eight hundred twenty-five thousand, five hundred nine".