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2563249121 is a prime number
BaseRepresentation
bin1001100011001000…
…0001001111100001
320121122012112202122
42120302001033201
520222142432441
61102203154025
7120343154336
oct23062011741
96548175678
102563249121
1110a5984004
125b6515915
1331b076274
141a45d698d
1510007134b
hex98c813e1

2563249121 has 2 divisors, whose sum is σ = 2563249122. Its totient is φ = 2563249120.

The previous prime is 2563249109. The next prime is 2563249127. The reversal of 2563249121 is 1219423652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2241549025 + 321700096 = 47345^2 + 17936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2563249121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2563249127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281624560 + 1281624561.

It is an arithmetic number, because the mean of its divisors is an integer number (1281624561).

Almost surely, 22563249121 is an apocalyptic number.

It is an amenable number.

2563249121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563249121 is an equidigital number, since it uses as much as digits as its factorization.

2563249121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 35.

The square root of 2563249121 is about 50628.5405774253. The cubic root of 2563249121 is about 1368.5592542072.

The spelling of 2563249121 in words is "two billion, five hundred sixty-three million, two hundred forty-nine thousand, one hundred twenty-one".