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205152225521 is a prime number
BaseRepresentation
bin1011111100010000000…
…1101000100011110001
3201121112102002212012212
42333010001220203301
511330122432204041
6234125020101505
720551602100445
oct2770401504361
9647472085185
10205152225521
117a0060a0521
1233915094895
1316465878929
149d0248a825
15550a9498eb
hex2fc40688f1

205152225521 has 2 divisors, whose sum is σ = 205152225522. Its totient is φ = 205152225520.

The previous prime is 205152225493. The next prime is 205152225547. The reversal of 205152225521 is 125522251502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195685908496 + 9466317025 = 442364^2 + 97295^2 .

It is a cyclic number.

It is not a de Polignac number, because 205152225521 - 222 = 205148031217 is a prime.

It is not a weakly prime, because it can be changed into another prime (205152225721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102576112760 + 102576112761.

It is an arithmetic number, because the mean of its divisors is an integer number (102576112761).

Almost surely, 2205152225521 is an apocalyptic number.

It is an amenable number.

205152225521 is a deficient number, since it is larger than the sum of its proper divisors (1).

205152225521 is an equidigital number, since it uses as much as digits as its factorization.

205152225521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 205152225521 in words is "two hundred five billion, one hundred fifty-two million, two hundred twenty-five thousand, five hundred twenty-one".