Search a number
-
+
505531357 is a prime number
BaseRepresentation
bin11110001000011…
…100101111011101
31022020020122122121
4132020130233131
52013404000412
6122055142541
715345642232
oct3610345735
91266218577
10505531357
1123a3a5211
12121374a51
13809709a6
144b1d5789
152e5ac107
hex1e21cbdd

505531357 has 2 divisors, whose sum is σ = 505531358. Its totient is φ = 505531356.

The previous prime is 505531307. The next prime is 505531373. The reversal of 505531357 is 753135505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503284356 + 2247001 = 22434^2 + 1499^2 .

It is a cyclic number.

It is not a de Polignac number, because 505531357 - 211 = 505529309 is a prime.

It is a super-2 number, since 2×5055313572 = 511123905820522898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505531307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252765678 + 252765679.

It is an arithmetic number, because the mean of its divisors is an integer number (252765679).

Almost surely, 2505531357 is an apocalyptic number.

It is an amenable number.

505531357 is a deficient number, since it is larger than the sum of its proper divisors (1).

505531357 is an equidigital number, since it uses as much as digits as its factorization.

505531357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39375, while the sum is 34.

The square root of 505531357 is about 22484.0244840642. The cubic root of 505531357 is about 796.6166262538.

The spelling of 505531357 in words is "five hundred five million, five hundred thirty-one thousand, three hundred fifty-seven".