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10536961 is a prime number
BaseRepresentation
bin101000001100…
…100000000001
3201211022222211
4220030200001
510144140321
61013502121
7155364001
oct50144001
921738884
1010536961
115a47636
123641941
13224c0b6
141584001
15dd20e1
hexa0c801

10536961 has 2 divisors, whose sum is σ = 10536962. Its totient is φ = 10536960.

The previous prime is 10536943. The next prime is 10536989. The reversal of 10536961 is 16963501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8520561 + 2016400 = 2919^2 + 1420^2 .

It is a cyclic number.

It is not a de Polignac number, because 10536961 - 211 = 10534913 is a prime.

It is a super-2 number, since 2×105369612 = 222055094231042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10536901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268480 + 5268481.

It is an arithmetic number, because the mean of its divisors is an integer number (5268481).

Almost surely, 210536961 is an apocalyptic number.

It is an amenable number.

10536961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10536961 is an equidigital number, since it uses as much as digits as its factorization.

10536961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 10536961 is about 3246.0685451789. The cubic root of 10536961 is about 219.2325948408.

The spelling of 10536961 in words is "ten million, five hundred thirty-six thousand, nine hundred sixty-one".