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85553006261 is a prime number
BaseRepresentation
bin100111110101101011…
…0110100011010110101
322011211100002000112112
41033223112310122311
52400203032200021
6103145201500405
76116040361142
oct1175326643265
9264740060475
1085553006261
1133312494958
12146b7641705
1380b5717338
1441d846d3c9
15235ac5dd5b
hex13eb5b46b5

85553006261 has 2 divisors, whose sum is σ = 85553006262. Its totient is φ = 85553006260.

The previous prime is 85553006153. The next prime is 85553006291. The reversal of 85553006261 is 16260035558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79809640036 + 5743366225 = 282506^2 + 75785^2 .

It is a cyclic number.

It is not a de Polignac number, because 85553006261 - 230 = 84479264437 is a prime.

It is a super-3 number, since 3×855530062613 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85553006291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42776503130 + 42776503131.

It is an arithmetic number, because the mean of its divisors is an integer number (42776503131).

Almost surely, 285553006261 is an apocalyptic number.

It is an amenable number.

85553006261 is a deficient number, since it is larger than the sum of its proper divisors (1).

85553006261 is an equidigital number, since it uses as much as digits as its factorization.

85553006261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 85553006261 in words is "eighty-five billion, five hundred fifty-three million, six thousand, two hundred sixty-one".