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1005132461 is a prime number
BaseRepresentation
bin111011111010010…
…001101010101101
32121001100000112012
4323322101222231
54024303214321
6243423251005
733623325224
oct7372215255
92531300465
101005132461
11476409993
12240749a65
13130316348
14976c5cbb
155d39705b
hex3be91aad

1005132461 has 2 divisors, whose sum is σ = 1005132462. Its totient is φ = 1005132460.

The previous prime is 1005132451. The next prime is 1005132473. The reversal of 1005132461 is 1642315001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 520296100 + 484836361 = 22810^2 + 22019^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005132461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005132451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502566230 + 502566231.

It is an arithmetic number, because the mean of its divisors is an integer number (502566231).

Almost surely, 21005132461 is an apocalyptic number.

It is an amenable number.

1005132461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005132461 is an equidigital number, since it uses as much as digits as its factorization.

1005132461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1005132461 is about 31703.8240753383. The cubic root of 1005132461 is about 1001.7079017444.

Adding to 1005132461 its reverse (1642315001), we get a palindrome (2647447462).

The spelling of 1005132461 in words is "one billion, five million, one hundred thirty-two thousand, four hundred sixty-one".