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4053736961 is a prime number
BaseRepresentation
bin1111000110011111…
…0001111000000001
3101110111211011200222
43301213301320001
531300224040321
61510125352425
7202312124051
oct36147617001
911414734628
104053736961
1117a025763a
12951708715
134c7ab7a31
142a6541561
1518ad3c3ab
hexf19f1e01

4053736961 has 2 divisors, whose sum is σ = 4053736962. Its totient is φ = 4053736960.

The previous prime is 4053736949. The next prime is 4053737011. The reversal of 4053736961 is 1696373504.

It is a happy number.

4053736961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2491906561 + 1561830400 = 49919^2 + 39520^2 .

It is a cyclic number.

It is not a de Polignac number, because 4053736961 - 226 = 3986628097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4053736901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2026868480 + 2026868481.

It is an arithmetic number, because the mean of its divisors is an integer number (2026868481).

Almost surely, 24053736961 is an apocalyptic number.

It is an amenable number.

4053736961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4053736961 is an equidigital number, since it uses as much as digits as its factorization.

4053736961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 408240, while the sum is 44.

The square root of 4053736961 is about 63668.9638756592. The cubic root of 4053736961 is about 1594.4779640041.

The spelling of 4053736961 in words is "four billion, fifty-three million, seven hundred thirty-six thousand, nine hundred sixty-one".