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25768801 is a prime number
BaseRepresentation
bin110001001001…
…1001101100001
31210111012011001
41202103031201
523044100201
62320152001
7432013462
oct142231541
953435131
1025768801
1113600533
128768601
135453116
1435cad69
1523e0301
hex1893361

25768801 has 2 divisors, whose sum is σ = 25768802. Its totient is φ = 25768800.

The previous prime is 25768783. The next prime is 25768819. The reversal of 25768801 is 10886752.

It is a balanced prime because it is at equal distance from previous prime (25768783) and next prime (25768819).

It can be written as a sum of positive squares in only one way, i.e., 25765776 + 3025 = 5076^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 25768801 - 29 = 25768289 is a prime.

It is a super-3 number, since 3×257688013 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (25768871) 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, 12884400 + 12884401.

It is an arithmetic number, because the mean of its divisors is an integer number (12884401).

Almost surely, 225768801 is an apocalyptic number.

It is an amenable number.

25768801 is a deficient number, since it is larger than the sum of its proper divisors (1).

25768801 is an equidigital number, since it uses as much as digits as its factorization.

25768801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 25768801 is about 5076.2979620980. The cubic root of 25768801 is about 295.3688806865.

It can be divided in two parts, 25768 and 801, that added together give a square (26569 = 1632).

The spelling of 25768801 in words is "twenty-five million, seven hundred sixty-eight thousand, eight hundred one".