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1061961601 is a prime number
BaseRepresentation
bin111111010011000…
…011111110000001
32202000021020110011
4333103003332001
54133330232401
6253213304521
735213344651
oct7723037601
92660236404
101061961601
114a54a4518
12257795141
1313c022c5c
14a107a361
1563370451
hex3f4c3f81

1061961601 has 2 divisors, whose sum is σ = 1061961602. Its totient is φ = 1061961600.

The previous prime is 1061961599. The next prime is 1061961611. The reversal of 1061961601 is 1061691601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 906311025 + 155650576 = 30105^2 + 12476^2 .

It is a cyclic number.

It is not a de Polignac number, because 1061961601 - 21 = 1061961599 is a prime.

It is a super-4 number, since 4×10619616014 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 1061961599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1061961611) 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, 530980800 + 530980801.

It is an arithmetic number, because the mean of its divisors is an integer number (530980801).

Almost surely, 21061961601 is an apocalyptic number.

It is an amenable number.

1061961601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1061961601 is an equidigital number, since it uses as much as digits as its factorization.

1061961601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 1061961601 is about 32587.7523158625. The cubic root of 1061961601 is about 1020.2413887877.

The spelling of 1061961601 in words is "one billion, sixty-one million, nine hundred sixty-one thousand, six hundred one".