Search a number
-
+
509914809689 is a prime number
BaseRepresentation
bin1110110101110010100…
…10101000010101011001
31210202011211200020020012
413122321102220111121
531323301142402224
61030130204011305
751561110240135
oct7327122502531
91722154606205
10509914809689
1118728768679a
12829a9530b35
13391142ab57c
141a973d2c3c5
15d3e62b480e
hex76b94a8559

509914809689 has 2 divisors, whose sum is σ = 509914809690. Its totient is φ = 509914809688.

The previous prime is 509914809641. The next prime is 509914809757. The reversal of 509914809689 is 986908419905.

It is an a-pointer prime, because the next prime (509914809757) can be obtained adding 509914809689 to its sum of digits (68).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316563769600 + 193351040089 = 562640^2 + 439717^2 .

It is a cyclic number.

It is not a de Polignac number, because 509914809689 - 232 = 505619842393 is a prime.

It is a super-2 number, since 2×5099148096892 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (509914809589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254957404844 + 254957404845.

It is an arithmetic number, because the mean of its divisors is an integer number (254957404845).

Almost surely, 2509914809689 is an apocalyptic number.

It is an amenable number.

509914809689 is a deficient number, since it is larger than the sum of its proper divisors (1).

509914809689 is an equidigital number, since it uses as much as digits as its factorization.

509914809689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50388480, while the sum is 68.

The spelling of 509914809689 in words is "five hundred nine billion, nine hundred fourteen million, eight hundred nine thousand, six hundred eighty-nine".