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145509582509 is a prime number
BaseRepresentation
bin1000011110000100001…
…1000000011010101101
3111220120210221200002122
42013201003000122231
54341000423120014
6150502435202325
713340602021034
oct2074103003255
9456523850078
10145509582509
115678a403015
122424aa463a5
131094c17c4a5
14708525b71b
153bb978558e
hex21e10c06ad

145509582509 has 2 divisors, whose sum is σ = 145509582510. Its totient is φ = 145509582508.

The previous prime is 145509582499. The next prime is 145509582527. The reversal of 145509582509 is 905285905541.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86202721609 + 59306860900 = 293603^2 + 243530^2 .

It is an emirp because it is prime and its reverse (905285905541) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145509582509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145509582109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72754791254 + 72754791255.

It is an arithmetic number, because the mean of its divisors is an integer number (72754791255).

Almost surely, 2145509582509 is an apocalyptic number.

It is an amenable number.

145509582509 is a deficient number, since it is larger than the sum of its proper divisors (1).

145509582509 is an equidigital number, since it uses as much as digits as its factorization.

145509582509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240000, while the sum is 53.

The spelling of 145509582509 in words is "one hundred forty-five billion, five hundred nine million, five hundred eighty-two thousand, five hundred nine".