Search a number
-
+
851431591957 is a prime number
BaseRepresentation
bin11000110001111010100…
…01110001000000010101
310000101200201202022120211
430120331101301000111
5102422212441420312
61451050421525421
7115341161056162
oct14307521610025
93011621668524
10851431591957
112a90a9a33aa1
1211901a873871
136239c4a961b
142d2d0c6d069
15172336bc3a7
hexc63d471015

851431591957 has 2 divisors, whose sum is σ = 851431591958. Its totient is φ = 851431591956.

The previous prime is 851431591909. The next prime is 851431591961. The reversal of 851431591957 is 759195134158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 727010317201 + 124421274756 = 852649^2 + 352734^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-851431591957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (851431591357) 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, 425715795978 + 425715795979.

It is an arithmetic number, because the mean of its divisors is an integer number (425715795979).

Almost surely, 2851431591957 is an apocalyptic number.

It is an amenable number.

851431591957 is a deficient number, since it is larger than the sum of its proper divisors (1).

851431591957 is an equidigital number, since it uses as much as digits as its factorization.

851431591957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804000, while the sum is 58.

The spelling of 851431591957 in words is "eight hundred fifty-one billion, four hundred thirty-one million, five hundred ninety-one thousand, nine hundred fifty-seven".