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1834561541 is a prime number
BaseRepresentation
bin110110101011001…
…0011000000000101
311201212001101022202
41231112103000011
512224121432131
6502013004245
763314341631
oct15526230005
94655041282
101834561541
1186162026a
12432483685
13233101397
14135911dc1
15ab0d3bcb
hex6d593005

1834561541 has 2 divisors, whose sum is σ = 1834561542. Its totient is φ = 1834561540.

The previous prime is 1834561529. The next prime is 1834561559. The reversal of 1834561541 is 1451654381.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1818681316 + 15880225 = 42646^2 + 3985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1834561541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1834561495 and 1834561504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1834561591) 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, 917280770 + 917280771.

It is an arithmetic number, because the mean of its divisors is an integer number (917280771).

Almost surely, 21834561541 is an apocalyptic number.

It is an amenable number.

1834561541 is a deficient number, since it is larger than the sum of its proper divisors (1).

1834561541 is an equidigital number, since it uses as much as digits as its factorization.

1834561541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 38.

The square root of 1834561541 is about 42831.7819031616. The cubic root of 1834561541 is about 1224.1766597952.

The spelling of 1834561541 in words is "one billion, eight hundred thirty-four million, five hundred sixty-one thousand, five hundred forty-one".