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961506181 is a prime number
BaseRepresentation
bin111001010011110…
…110101110000101
32111000020120112001
4321103312232011
53432121144211
6235224225301
732553445006
oct7123665605
92430216461
10961506181
11453821909
1222a00b231
1312428008c
14919ab1ad
155962aac1
hex394f6b85

961506181 has 2 divisors, whose sum is σ = 961506182. Its totient is φ = 961506180.

The previous prime is 961506167. The next prime is 961506233. The reversal of 961506181 is 181605169.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 711075556 + 250430625 = 26666^2 + 15825^2 .

It is a cyclic number.

It is not a de Polignac number, because 961506181 - 25 = 961506149 is a prime.

It is a super-2 number, since 2×9615061812 = 1848988272202409522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 961506181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (961506131) 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, 480753090 + 480753091.

It is an arithmetic number, because the mean of its divisors is an integer number (480753091).

Almost surely, 2961506181 is an apocalyptic number.

It is an amenable number.

961506181 is a deficient number, since it is larger than the sum of its proper divisors (1).

961506181 is an equidigital number, since it uses as much as digits as its factorization.

961506181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 961506181 is about 31008.1631348908. The cubic root of 961506181 is about 987.0004715128. Note that the first 3 decimals are identical.

The spelling of 961506181 in words is "nine hundred sixty-one million, five hundred six thousand, one hundred eighty-one".