Search a number
-
+
5205735053681 is a prime number
BaseRepresentation
bin100101111000000110111…
…1111010001100101110001
3200102122220121220201120012
41023300031333101211301
51140242321133204211
615023252012424305
71045046652602231
oct113601577214561
920378817821505
105205735053681
1117278157a7448
12700aa6178095
132b9b8b605716
1413dd5d3c9cc1
159062e3e5d8b
hex4bc0dfd1971

5205735053681 has 2 divisors, whose sum is σ = 5205735053682. Its totient is φ = 5205735053680.

The previous prime is 5205735053653. The next prime is 5205735053707. The reversal of 5205735053681 is 1863505375025.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5205698560000 + 36493681 = 2281600^2 + 6041^2 .

It is a cyclic number.

It is not a de Polignac number, because 5205735053681 - 222 = 5205730859377 is a prime.

It is a super-2 number, since 2×52057350536812 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5205735053081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2602867526840 + 2602867526841.

It is an arithmetic number, because the mean of its divisors is an integer number (2602867526841).

Almost surely, 25205735053681 is an apocalyptic number.

It is an amenable number.

5205735053681 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205735053681 is an equidigital number, since it uses as much as digits as its factorization.

5205735053681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780000, while the sum is 50.

The spelling of 5205735053681 in words is "five trillion, two hundred five billion, seven hundred thirty-five million, fifty-three thousand, six hundred eighty-one".