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506584394957 is a prime number
BaseRepresentation
bin1110101111100101100…
…10000110110011001101
31210102120201220122002102
413113302302012303031
531244441101114312
61024415513404445
751412430211164
oct7276262066315
91712521818072
10506584394957
11185928758923
128221a109725
1338a0330a574
141a7398b63db
15d29dc04ec2
hex75f2c86ccd

506584394957 has 2 divisors, whose sum is σ = 506584394958. Its totient is φ = 506584394956.

The previous prime is 506584394951. The next prime is 506584394989. The reversal of 506584394957 is 759493485605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389651856841 + 116932538116 = 624221^2 + 341954^2 .

It is a cyclic number.

It is not a de Polignac number, because 506584394957 - 24 = 506584394941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506584394893 and 506584394902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506584394951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253292197478 + 253292197479.

It is an arithmetic number, because the mean of its divisors is an integer number (253292197479).

Almost surely, 2506584394957 is an apocalyptic number.

It is an amenable number.

506584394957 is a deficient number, since it is larger than the sum of its proper divisors (1).

506584394957 is an equidigital number, since it uses as much as digits as its factorization.

506584394957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 163296000, while the sum is 65.

The spelling of 506584394957 in words is "five hundred six billion, five hundred eighty-four million, three hundred ninety-four thousand, nine hundred fifty-seven".