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577872961 is a prime number
BaseRepresentation
bin100010011100011…
…010010001000001
31111021100222200021
4202130122101001
52140413413321
6133201453441
720214560551
oct4234322101
91437328607
10577872961
11277215566
12141641281
139294c283
1456a67161
1535aeb941
hex2271a441

577872961 has 2 divisors, whose sum is σ = 577872962. Its totient is φ = 577872960.

The previous prime is 577872949. The next prime is 577873007. The reversal of 577872961 is 169278775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 434472336 + 143400625 = 20844^2 + 11975^2 .

It is a cyclic number.

It is not a de Polignac number, because 577872961 - 25 = 577872929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 577872899 and 577872908.

It is not a weakly prime, because it can be changed into another prime (577870961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 288936480 + 288936481.

It is an arithmetic number, because the mean of its divisors is an integer number (288936481).

Almost surely, 2577872961 is an apocalyptic number.

It is an amenable number.

577872961 is a deficient number, since it is larger than the sum of its proper divisors (1).

577872961 is an equidigital number, since it uses as much as digits as its factorization.

577872961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1481760, while the sum is 52.

The square root of 577872961 is about 24038.9883522581. The cubic root of 577872961 is about 832.9343858751.

The spelling of 577872961 in words is "five hundred seventy-seven million, eight hundred seventy-two thousand, nine hundred sixty-one".