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505533422137 is a prime number
BaseRepresentation
bin1110101101101000010…
…00111101101000111001
31210022212111022200102011
413112310020331220321
531240313024002022
61024123331405521
751344406121402
oct7266410755071
91708774280364
10505533422137
1118543948a447
1281b861538a1
1338896664263
141a67a09a9a9
15d23b805977
hex75b423da39

505533422137 has 2 divisors, whose sum is σ = 505533422138. Its totient is φ = 505533422136.

The previous prime is 505533422087. The next prime is 505533422143. The reversal of 505533422137 is 731224335505.

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., 453758515456 + 51774906681 = 673616^2 + 227541^2 .

It is a cyclic number.

It is not a de Polignac number, because 505533422137 - 235 = 471173683769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505533422137.

It is not a weakly prime, because it can be changed into another prime (505533422837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252766711068 + 252766711069.

It is an arithmetic number, because the mean of its divisors is an integer number (252766711069).

Almost surely, 2505533422137 is an apocalyptic number.

It is an amenable number.

505533422137 is a deficient number, since it is larger than the sum of its proper divisors (1).

505533422137 is an equidigital number, since it uses as much as digits as its factorization.

505533422137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 505533422137 in words is "five hundred five billion, five hundred thirty-three million, four hundred twenty-two thousand, one hundred thirty-seven".