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86572828801 is a prime number
BaseRepresentation
bin101000010100000100…
…1001000100010000001
322021110102001101001201
41100220021020202001
52404300121010201
6103434312101201
76153232621534
oct1205011104201
9267412041051
1086572828801
11337961176a8
1214941094801
138218aa4c24
144293a9aa1b
1523ba558801
hex1428248881

86572828801 has 2 divisors, whose sum is σ = 86572828802. Its totient is φ = 86572828800.

The previous prime is 86572828799. The next prime is 86572828841. The reversal of 86572828801 is 10882827568.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55384915600 + 31187913201 = 235340^2 + 176601^2 .

It is a cyclic number.

It is not a de Polignac number, because 86572828801 - 21 = 86572828799 is a prime.

Together with 86572828799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (86572828841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43286414400 + 43286414401.

It is an arithmetic number, because the mean of its divisors is an integer number (43286414401).

Almost surely, 286572828801 is an apocalyptic number.

It is an amenable number.

86572828801 is a deficient number, since it is larger than the sum of its proper divisors (1).

86572828801 is an equidigital number, since it uses as much as digits as its factorization.

86572828801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3440640, while the sum is 55.

The spelling of 86572828801 in words is "eighty-six billion, five hundred seventy-two million, eight hundred twenty-eight thousand, eight hundred one".