Search a number
-
+
505585534957 is a prime number
BaseRepresentation
bin1110101101101110011…
…11110000011111101101
31210100000010101021202121
413112313033300133231
531240414344104312
61024132432352541
751345611065666
oct7266717603755
91710003337677
10505585534957
11185465943598
1281b9b6a5751
13388a43ac249
141a682d8436d
15d24119b707
hex75b73f07ed

505585534957 has 2 divisors, whose sum is σ = 505585534958. Its totient is φ = 505585534956.

The previous prime is 505585534939. The next prime is 505585535011. The reversal of 505585534957 is 759435585505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306717700041 + 198867834916 = 553821^2 + 445946^2 .

It is a cyclic number.

It is not a de Polignac number, because 505585534957 - 219 = 505585010669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505585534895 and 505585534904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509585534957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252792767478 + 252792767479.

It is an arithmetic number, because the mean of its divisors is an integer number (252792767479).

Almost surely, 2505585534957 is an apocalyptic number.

It is an amenable number.

505585534957 is a deficient number, since it is larger than the sum of its proper divisors (1).

505585534957 is an equidigital number, since it uses as much as digits as its factorization.

505585534957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94500000, while the sum is 61.

The spelling of 505585534957 in words is "five hundred five billion, five hundred eighty-five million, five hundred thirty-four thousand, nine hundred fifty-seven".