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85582390541 is a prime number
BaseRepresentation
bin100111110110100011…
…0111010010100001101
322011220101100220012012
41033231012322110031
52400233042444131
6103152131351005
76116545213454
oct1175506722415
9264811326165
1085582390541
113332803478a
1214705452465
1380bb834c9b
1441dc31bb9b
15235d61552b
hex13ed1ba50d

85582390541 has 2 divisors, whose sum is σ = 85582390542. Its totient is φ = 85582390540.

The previous prime is 85582390519. The next prime is 85582390561. The reversal of 85582390541 is 14509328558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52614725641 + 32967664900 = 229379^2 + 181570^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85582390541 is a prime.

It is a super-3 number, since 3×855823905413 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85582390541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85582390561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42791195270 + 42791195271.

It is an arithmetic number, because the mean of its divisors is an integer number (42791195271).

Almost surely, 285582390541 is an apocalyptic number.

It is an amenable number.

85582390541 is a deficient number, since it is larger than the sum of its proper divisors (1).

85582390541 is an equidigital number, since it uses as much as digits as its factorization.

85582390541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728000, while the sum is 50.

The spelling of 85582390541 in words is "eighty-five billion, five hundred eighty-two million, three hundred ninety thousand, five hundred forty-one".