Search a number
-
+
561573131427053 is a prime number
BaseRepresentation
bin111111110101111110110111…
…1000000111001110011101101
32201122100212102002021201100122
41333223331233000321303231
51042101303233121131203
65310211045102134325
7226200214464540434
oct17753755700716355
92648325362251318
10561573131427053
11152a30911566879
1252b987755813a5
131b147171782825
149c963dac9011b
1544dcc14d11538
hex1febf6f039ced

561573131427053 has 2 divisors, whose sum is σ = 561573131427054. Its totient is φ = 561573131427052.

The previous prime is 561573131427023. The next prime is 561573131427073. The reversal of 561573131427053 is 350724131375165.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309411371748649 + 252161759678404 = 17590093^2 + 15879602^2 .

It is a cyclic number.

It is not a de Polignac number, because 561573131427053 - 234 = 561555951557869 is a prime.

It is a super-3 number, since 3×5615731314270533 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 561573131426986 and 561573131427004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (561573131427013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 280786565713526 + 280786565713527.

It is an arithmetic number, because the mean of its divisors is an integer number (280786565713527).

Almost surely, 2561573131427053 is an apocalyptic number.

It is an amenable number.

561573131427053 is a deficient number, since it is larger than the sum of its proper divisors (1).

561573131427053 is an equidigital number, since it uses as much as digits as its factorization.

561573131427053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938000, while the sum is 53.

The spelling of 561573131427053 in words is "five hundred sixty-one trillion, five hundred seventy-three billion, one hundred thirty-one million, four hundred twenty-seven thousand, fifty-three".