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3835864436561 is a prime number
BaseRepresentation
bin110111110100011011010…
…101100100111101010001
3111120201000222200011101222
4313310123111210331101
51000321322243432221
612054101035134425
7544063203511463
oct67643325447521
914521028604358
103835864436561
111249865523493
1251b4bb2a4415
1321a949b24571
14d392a4a8133
1569ba641a9ab
hex37d1b564f51

3835864436561 has 2 divisors, whose sum is σ = 3835864436562. Its totient is φ = 3835864436560.

The previous prime is 3835864436501. The next prime is 3835864436581. The reversal of 3835864436561 is 1656344685383.

3835864436561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3498280196161 + 337584240400 = 1870369^2 + 581020^2 .

It is a cyclic number.

It is not a de Polignac number, because 3835864436561 - 226 = 3835797327697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3835864436494 and 3835864436503.

It is not a weakly prime, because it can be changed into another prime (3835864436501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1917932218280 + 1917932218281.

It is an arithmetic number, because the mean of its divisors is an integer number (1917932218281).

Almost surely, 23835864436561 is an apocalyptic number.

It is an amenable number.

3835864436561 is a deficient number, since it is larger than the sum of its proper divisors (1).

3835864436561 is an equidigital number, since it uses as much as digits as its factorization.

3835864436561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 149299200, while the sum is 62.

The spelling of 3835864436561 in words is "three trillion, eight hundred thirty-five billion, eight hundred sixty-four million, four hundred thirty-six thousand, five hundred sixty-one".