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1005383072509 is a prime number
BaseRepresentation
bin11101010000101011000…
…00000011101011111101
310120010001212121211201221
432220111200003223331
5112433011031310014
62045511104233341
7132431221053664
oct16502540035375
93503055554657
101005383072509
11358420596a52
12142a2490b851
1373a655bcc4a
1436937343ddb
151b24413ab24
hexea15803afd

1005383072509 has 2 divisors, whose sum is σ = 1005383072510. Its totient is φ = 1005383072508.

The previous prime is 1005383072489. The next prime is 1005383072609. The reversal of 1005383072509 is 9052703835001.

1005383072509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 721475263609 + 283907808900 = 849397^2 + 532830^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005383072509 - 213 = 1005383064317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005383072609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502691536254 + 502691536255.

It is an arithmetic number, because the mean of its divisors is an integer number (502691536255).

Almost surely, 21005383072509 is an apocalyptic number.

It is an amenable number.

1005383072509 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005383072509 is an equidigital number, since it uses as much as digits as its factorization.

1005383072509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 1005383072509 in words is "one trillion, five billion, three hundred eighty-three million, seventy-two thousand, five hundred nine".