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509253973 is a prime number
BaseRepresentation
bin11110010110101…
…001100101010101
31022111020210010021
4132112221211111
52020332111343
6122311025141
715422405314
oct3626514525
91274223107
10509253973
11241508058
1212266b1b1
1381675217
144b8c427b
152ea950ed
hex1e5a9955

509253973 has 2 divisors, whose sum is σ = 509253974. Its totient is φ = 509253972.

The previous prime is 509253959. The next prime is 509254003. The reversal of 509253973 is 379352905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 390378564 + 118875409 = 19758^2 + 10903^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-509253973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509253673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254626986 + 254626987.

It is an arithmetic number, because the mean of its divisors is an integer number (254626987).

Almost surely, 2509253973 is an apocalyptic number.

It is an amenable number.

509253973 is a deficient number, since it is larger than the sum of its proper divisors (1).

509253973 is an equidigital number, since it uses as much as digits as its factorization.

509253973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 255150, while the sum is 43.

The square root of 509253973 is about 22566.6562210709. The cubic root of 509253973 is about 798.5672130380.

The spelling of 509253973 in words is "five hundred nine million, two hundred fifty-three thousand, nine hundred seventy-three".