Search a number
-
+
54635411437261 is a prime number
BaseRepresentation
bin11000110110000110011000…
…10010100111011011001101
321011110002112202120102022121
430123003030102213123031
524130121310311443021
6312111054515412541
714336164266504154
oct1433031422473315
9234402482512277
1054635411437261
1116454825461186
1261648608b4151
1324641356b6c85
14d6c521bd859b
1564b2d46da741
hex31b0cc4a76cd

54635411437261 has 2 divisors, whose sum is σ = 54635411437262. Its totient is φ = 54635411437260.

The previous prime is 54635411437249. The next prime is 54635411437291. The reversal of 54635411437261 is 16273411453645.

54635411437261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47901417577225 + 6733993860036 = 6921085^2 + 2594994^2 .

It is a cyclic number.

It is not a de Polignac number, because 54635411437261 - 237 = 54497972483789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54635411437199 and 54635411437208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54635411437291) 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, 27317705718630 + 27317705718631.

It is an arithmetic number, because the mean of its divisors is an integer number (27317705718631).

Almost surely, 254635411437261 is an apocalyptic number.

It is an amenable number.

54635411437261 is a deficient number, since it is larger than the sum of its proper divisors (1).

54635411437261 is an equidigital number, since it uses as much as digits as its factorization.

54635411437261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7257600, while the sum is 52.

The spelling of 54635411437261 in words is "fifty-four trillion, six hundred thirty-five billion, four hundred eleven million, four hundred thirty-seven thousand, two hundred sixty-one".