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825223214077 is a prime number
BaseRepresentation
bin11000000001000110010…
…00101111001111111101
32220220001020001202221121
430000203020233033331
5102010024120322302
61431034033230541
7113422541404213
oct14004310571775
92826036052847
10825223214077
11298a7aa99869
12113b25702451
135ca83807512
142bd26214cb3
15166ec8a6e37
hexc02322f3fd

825223214077 has 2 divisors, whose sum is σ = 825223214078. Its totient is φ = 825223214076.

The previous prime is 825223213973. The next prime is 825223214087. The reversal of 825223214077 is 770412322528.

825223214077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 454520020761 + 370703193316 = 674181^2 + 608854^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-825223214077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825223214087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412611607038 + 412611607039.

It is an arithmetic number, because the mean of its divisors is an integer number (412611607039).

Almost surely, 2825223214077 is an apocalyptic number.

It is an amenable number.

825223214077 is a deficient number, since it is larger than the sum of its proper divisors (1).

825223214077 is an equidigital number, since it uses as much as digits as its factorization.

825223214077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 825223214077 in words is "eight hundred twenty-five billion, two hundred twenty-three million, two hundred fourteen thousand, seventy-seven".