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1037531441 is a prime number
BaseRepresentation
bin111101110101110…
…111100100110001
32200022022001120102
4331311313210301
54111102001231
6250541522145
734465605002
oct7565674461
92608261512
101037531441
11492728801
1224b573355
13136c4b23b
149bb1b1a9
1561146acb
hex3dd77931

1037531441 has 2 divisors, whose sum is σ = 1037531442. Its totient is φ = 1037531440.

The previous prime is 1037531413. The next prime is 1037531483. The reversal of 1037531441 is 1441357301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 550887841 + 486643600 = 23471^2 + 22060^2 .

It is an emirp because it is prime and its reverse (1441357301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1037531441 is a prime.

It is not a weakly prime, because it can be changed into another prime (1037531401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518765720 + 518765721.

It is an arithmetic number, because the mean of its divisors is an integer number (518765721).

Almost surely, 21037531441 is an apocalyptic number.

It is an amenable number.

1037531441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1037531441 is an equidigital number, since it uses as much as digits as its factorization.

1037531441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1037531441 is about 32210.7348720888. The cubic root of 1037531441 is about 1012.3571521483.

Adding to 1037531441 its reverse (1441357301), we get a palindrome (2478888742).

The spelling of 1037531441 in words is "one billion, thirty-seven million, five hundred thirty-one thousand, four hundred forty-one".