Search a number
-
+
51535580400137 is a prime number
BaseRepresentation
bin10111011011111000011111…
…11101101000101000001001
320202110202100012121000010002
423231330033331220220021
523223324332040301022
6301335041354332345
713566215503440521
oct1355741775505011
9222422305530102
1051535580400137
111546a131673749
125943b3572a0b5
13229aa27385892
14ca249a4a4681
155e585a9d5092
hex2edf0ff68a09

51535580400137 has 2 divisors, whose sum is σ = 51535580400138. Its totient is φ = 51535580400136.

The previous prime is 51535580400103. The next prime is 51535580400233. The reversal of 51535580400137 is 73100408553515.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51492981091321 + 42599308816 = 7175861^2 + 206396^2 .

It is a cyclic number.

It is not a de Polignac number, because 51535580400137 - 240 = 50436068772361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51535580400091 and 51535580400100.

It is not a weakly prime, because it can be changed into another prime (51535580400737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25767790200068 + 25767790200069.

It is an arithmetic number, because the mean of its divisors is an integer number (25767790200069).

Almost surely, 251535580400137 is an apocalyptic number.

It is an amenable number.

51535580400137 is a deficient number, since it is larger than the sum of its proper divisors (1).

51535580400137 is an equidigital number, since it uses as much as digits as its factorization.

51535580400137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260000, while the sum is 47.

The spelling of 51535580400137 in words is "fifty-one trillion, five hundred thirty-five billion, five hundred eighty million, four hundred thousand, one hundred thirty-seven".