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1382527561 is a prime number
BaseRepresentation
bin101001001100111…
…1011001001001001
310120100110200021111
41102121323021021
510312411340221
6345104210321
746155201412
oct12231731111
93510420244
101382527561
1164a445468
123270099a1
1319057195c
14d1884809
1581592be1
hex5267b249

1382527561 has 2 divisors, whose sum is σ = 1382527562. Its totient is φ = 1382527560.

The previous prime is 1382527543. The next prime is 1382527579. The reversal of 1382527561 is 1657252831.

It is a balanced prime because it is at equal distance from previous prime (1382527543) and next prime (1382527579).

It can be written as a sum of positive squares in only one way, i.e., 1272277561 + 110250000 = 35669^2 + 10500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1382527561 is a prime.

It is a super-2 number, since 2×13825275612 = 3822764913849217442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1382527501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 691263780 + 691263781.

It is an arithmetic number, because the mean of its divisors is an integer number (691263781).

Almost surely, 21382527561 is an apocalyptic number.

It is an amenable number.

1382527561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1382527561 is an equidigital number, since it uses as much as digits as its factorization.

1382527561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 100800, while the sum is 40.

The square root of 1382527561 is about 37182.3555063420. The cubic root of 1382527561 is about 1114.0155832327.

Subtracting from 1382527561 its product of digits (100800), we obtain a square (1382426761 = 371812).

The spelling of 1382527561 in words is "one billion, three hundred eighty-two million, five hundred twenty-seven thousand, five hundred sixty-one".