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91585964131 is a prime number
BaseRepresentation
bin101010101001011110…
…0101110100001100011
322202101210011000220121
41111102330232201203
53000032001323011
6110023553021111
76421404564454
oct1252274564143
9282353130817
1091585964131
1135928986452
12158bbb54797
1388375824ac
14460b7bb12b
1525b0706e71
hex1552f2e863

91585964131 has 2 divisors, whose sum is σ = 91585964132. Its totient is φ = 91585964130.

The previous prime is 91585964111. The next prime is 91585964137. The reversal of 91585964131 is 13146958519.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 91585964131 - 219 = 91585439843 is a prime.

It is a super-2 number, since 2×915859641312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (91585964137) 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, 45792982065 + 45792982066.

It is an arithmetic number, because the mean of its divisors is an integer number (45792982066).

Almost surely, 291585964131 is an apocalyptic number.

91585964131 is a deficient number, since it is larger than the sum of its proper divisors (1).

91585964131 is an equidigital number, since it uses as much as digits as its factorization.

91585964131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1166400, while the sum is 52.

The spelling of 91585964131 in words is "ninety-one billion, five hundred eighty-five million, nine hundred sixty-four thousand, one hundred thirty-one".