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415620509 is a prime number
BaseRepresentation
bin11000110001011…
…101110110011101
31001222001201011012
4120301131312131
51322344324014
6105124105005
713204500413
oct3061356635
91058051135
10415620509
111a3674927
12b7235165
13681504c5
143d2ad2b3
152674bc3e
hex18c5dd9d

415620509 has 2 divisors, whose sum is σ = 415620510. Its totient is φ = 415620508.

The previous prime is 415620461. The next prime is 415620533. The reversal of 415620509 is 905026514.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404894884 + 10725625 = 20122^2 + 3275^2 .

It is a cyclic number.

It is not a de Polignac number, because 415620509 - 212 = 415616413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415620109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207810254 + 207810255.

It is an arithmetic number, because the mean of its divisors is an integer number (207810255).

Almost surely, 2415620509 is an apocalyptic number.

It is an amenable number.

415620509 is a deficient number, since it is larger than the sum of its proper divisors (1).

415620509 is an equidigital number, since it uses as much as digits as its factorization.

415620509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 415620509 is about 20386.7728932266. The cubic root of 415620509 is about 746.2751664076.

The spelling of 415620509 in words is "four hundred fifteen million, six hundred twenty thousand, five hundred nine".