Search a number
-
+
500540521340357 is a prime number
BaseRepresentation
bin111000111001111010010101…
…1111110000101110111000101
32102122021012120112211201200122
41301303310223332011313011
51011101323441430342412
64532321050245551325
7210300600506512631
oct16163645376056705
92378235515751618
10500540521340357
11135540052261003
1248180133a15545
131863a9cb8ab624
148b8640d199dc1
153cd031ab99572
hex1c73d2bf85dc5

500540521340357 has 2 divisors, whose sum is σ = 500540521340358. Its totient is φ = 500540521340356.

The previous prime is 500540521340207. The next prime is 500540521340359. The reversal of 500540521340357 is 753043125045005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 484107761997601 + 16432759342756 = 22002449^2 + 4053734^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-500540521340357 is a prime.

Together with 500540521340359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (500540521340359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250270260670178 + 250270260670179.

It is an arithmetic number, because the mean of its divisors is an integer number (250270260670179).

Almost surely, 2500540521340357 is an apocalyptic number.

It is an amenable number.

500540521340357 is a deficient number, since it is larger than the sum of its proper divisors (1).

500540521340357 is an equidigital number, since it uses as much as digits as its factorization.

500540521340357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260000, while the sum is 44.

The spelling of 500540521340357 in words is "five hundred trillion, five hundred forty billion, five hundred twenty-one million, three hundred forty thousand, three hundred fifty-seven".