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85528010977 is a prime number
BaseRepresentation
bin100111110100111011…
…1011110000011100001
322011202121001010110021
41033221313132003201
52400130132322402
6103142510033441
76115315045453
oct1175167360341
9264677033407
1085528010977
11332aa3725a2
12146ab1a8881
1380b04a5326
1441d50042d3
152358972d37
hex13e9dde0e1

85528010977 has 2 divisors, whose sum is σ = 85528010978. Its totient is φ = 85528010976.

The previous prime is 85528010963. The next prime is 85528010993. The reversal of 85528010977 is 77901082558.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85474954321 + 53056656 = 292361^2 + 7284^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85528010977 is a prime.

It is a super-3 number, since 3×855280109773 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (85528010177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42764005488 + 42764005489.

It is an arithmetic number, because the mean of its divisors is an integer number (42764005489).

Almost surely, 285528010977 is an apocalyptic number.

It is an amenable number.

85528010977 is a deficient number, since it is larger than the sum of its proper divisors (1).

85528010977 is an equidigital number, since it uses as much as digits as its factorization.

85528010977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1411200, while the sum is 52.

The spelling of 85528010977 in words is "eighty-five billion, five hundred twenty-eight million, ten thousand, nine hundred seventy-seven".