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252111552221 is a prime number
BaseRepresentation
bin1110101011001100000…
…1001111111011011101
3220002202002100211020002
43222303001033323131
513112311024132341
6311452441304045
724133362556454
oct3526301177335
9802662324202
10252111552221
1197a13442731
1240a3b795025
131aa0a692c89
14c2b9027b9b
1568583b429b
hex3ab304fedd

252111552221 has 2 divisors, whose sum is σ = 252111552222. Its totient is φ = 252111552220.

The previous prime is 252111552191. The next prime is 252111552241. The reversal of 252111552221 is 122255111252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236979108025 + 15132444196 = 486805^2 + 123014^2 .

It is a cyclic number.

It is not a de Polignac number, because 252111552221 - 222 = 252107357917 is a prime.

It is a super-3 number, since 3×2521115522213 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252111552241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126055776110 + 126055776111.

It is an arithmetic number, because the mean of its divisors is an integer number (126055776111).

Almost surely, 2252111552221 is an apocalyptic number.

It is an amenable number.

252111552221 is a deficient number, since it is larger than the sum of its proper divisors (1).

252111552221 is an equidigital number, since it uses as much as digits as its factorization.

252111552221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4000, while the sum is 29.

Adding to 252111552221 its reverse (122255111252), we get a palindrome (374366663473).

The spelling of 252111552221 in words is "two hundred fifty-two billion, one hundred eleven million, five hundred fifty-two thousand, two hundred twenty-one".