278535782401 has 2 divisors, whose sum is σ = 278535782402. Its totient is φ = 278535782400.

The previous prime is 278535782341. The next prime is 278535782461. The reversal of 278535782401 is 104287535872.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (278535782341) and next prime (278535782461).

It can be written as a sum of positive squares in only one way, i.e., 144685901376 + 133849881025 = 380376^2 + 365855^2 .

It is a cyclic number.

It is not a de Polignac number, because 278535782401 - 2³⁵ = 244176044033 is a prime.

It is not a weakly prime, because it can be changed into another prime (278535782461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 139267891200 + 139267891201.

It is an arithmetic number, because the mean of its divisors is an integer number (139267891201).

Almost surely, 2^278535782401 is an apocalyptic number.

It is an amenable number.

278535782401 is a deficient number, since it is larger than the sum of its proper divisors (1).

278535782401 is an equidigital number, since it uses as much as digits as its factorization.

278535782401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 278535782401 in words is "two hundred seventy-eight billion, five hundred thirty-five million, seven hundred eighty-two thousand, four hundred one".