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85574517593 is a prime number
BaseRepresentation
bin100111110110010100…
…0111000001101011001
322011212211112220112112
41033230220320031121
52400224034030333
6103151250522105
76116421253325
oct1175450701531
9264784486475
1085574517593
1133323647714
1214702896335
1380ba009636
1441db26c985
15235caac948
hex13eca38359

85574517593 has 2 divisors, whose sum is σ = 85574517594. Its totient is φ = 85574517592.

The previous prime is 85574517569. The next prime is 85574517631. The reversal of 85574517593 is 39571547558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75135195664 + 10439321929 = 274108^2 + 102173^2 .

It is a cyclic number.

It is not a de Polignac number, because 85574517593 - 228 = 85306082137 is a prime.

It is a super-2 number, since 2×855745175932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85574517293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42787258796 + 42787258797.

It is an arithmetic number, because the mean of its divisors is an integer number (42787258797).

Almost surely, 285574517593 is an apocalyptic number.

It is an amenable number.

85574517593 is a deficient number, since it is larger than the sum of its proper divisors (1).

85574517593 is an equidigital number, since it uses as much as digits as its factorization.

85574517593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460000, while the sum is 59.

The spelling of 85574517593 in words is "eighty-five billion, five hundred seventy-four million, five hundred seventeen thousand, five hundred ninety-three".