2076829286401 has 2 divisors, whose sum is σ = 2076829286402. Its totient is φ = 2076829286400.

The previous prime is 2076829286381. The next prime is 2076829286407. The reversal of 2076829286401 is 1046829286702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1828701767025 + 248127519376 = 1352295^2 + 498124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2076829286401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2076829286407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1038414643200 + 1038414643201.

It is an arithmetic number, because the mean of its divisors is an integer number (1038414643201).

Almost surely, 2^{2076829286401} is an apocalyptic number.

It is an amenable number.

2076829286401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2076829286401 is an equidigital number, since it uses as much as digits as its factorization.

2076829286401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 2076829286401 in words is "two trillion, seventy-six billion, eight hundred twenty-nine million, two hundred eighty-six thousand, four hundred one".