Search a number
-
+
505287973 is a prime number
BaseRepresentation
bin11110000111100…
…001010100100101
31022012210021210101
4132013201110211
52013323203343
6122050024101
715343606531
oct3607412445
91265707711
10505287973
1123a249373
12121278031
13808b6c88
144b170bc1
152e55ee4d
hex1e1e1525

505287973 has 2 divisors, whose sum is σ = 505287974. Its totient is φ = 505287972.

The previous prime is 505287953. The next prime is 505287983. The reversal of 505287973 is 379782505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372991969 + 132296004 = 19313^2 + 11502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505287973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505287953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252643986 + 252643987.

It is an arithmetic number, because the mean of its divisors is an integer number (252643987).

Almost surely, 2505287973 is an apocalyptic number.

It is an amenable number.

505287973 is a deficient number, since it is larger than the sum of its proper divisors (1).

505287973 is an equidigital number, since it uses as much as digits as its factorization.

505287973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 529200, while the sum is 46.

The square root of 505287973 is about 22478.6114562266. The cubic root of 505287973 is about 796.4887641794.

It can be divided in two parts, 5052 and 87973, that added together give a square (93025 = 3052).

The spelling of 505287973 in words is "five hundred five million, two hundred eighty-seven thousand, nine hundred seventy-three".