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2564402381 is a prime number
BaseRepresentation
bin1001100011011001…
…1010110011001101
320121201101010201222
42120312122303031
520222441334011
61102244013125
7120356026532
oct23066326315
96551333658
102564402381
1110a65a1512
125b69911a5
1331b38b178
141a4816d89
151001ecddb
hex98d9accd

2564402381 has 2 divisors, whose sum is σ = 2564402382. Its totient is φ = 2564402380.

The previous prime is 2564402369. The next prime is 2564402443. The reversal of 2564402381 is 1832044652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1993622500 + 570779881 = 44650^2 + 23891^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564402381 - 214 = 2564385997 is a prime.

It is a super-2 number, since 2×25644023812 = 13152319143356938322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564402341) 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, 1282201190 + 1282201191.

It is an arithmetic number, because the mean of its divisors is an integer number (1282201191).

Almost surely, 22564402381 is an apocalyptic number.

It is an amenable number.

2564402381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564402381 is an equidigital number, since it uses as much as digits as its factorization.

2564402381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2564402381 is about 50639.9287223037. The cubic root of 2564402381 is about 1368.7644713523.

The spelling of 2564402381 in words is "two billion, five hundred sixty-four million, four hundred two thousand, three hundred eighty-one".