288536401 has 2 divisors, whose sum is σ = 288536402. Its totient is φ = 288536400.

The previous prime is 288536383. The next prime is 288536419. The reversal of 288536401 is 104635882.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (288536383) and next prime (288536419).

It can be written as a sum of positive squares in only one way, i.e., 281434176 + 7102225 = 16776^2 + 2665^2 .

It is a cyclic number.

It is not a de Polignac number, because 288536401 - 2⁹ = 288535889 is a prime.

It is not a weakly prime, because it can be changed into another prime (288536441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144268200 + 144268201.

It is an arithmetic number, because the mean of its divisors is an integer number (144268201).

Almost surely, 2^288536401 is an apocalyptic number.

It is an amenable number.

288536401 is a deficient number, since it is larger than the sum of its proper divisors (1).

288536401 is an equidigital number, since it uses as much as digits as its factorization.

288536401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 288536401 is about 16986.3592626554. The cubic root of 288536401 is about 660.7951855704.

The spelling of 288536401 in words is "two hundred eighty-eight million, five hundred thirty-six thousand, four hundred one".