249778033 has 2 divisors, whose sum is σ = 249778034. Its totient is φ = 249778032.

The previous prime is 249777977. The next prime is 249778049. The reversal of 249778033 is 330877942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230523489 + 19254544 = 15183^2 + 4388^2 .

It is a cyclic number.

It is not a de Polignac number, because 249778033 - 2¹³ = 249769841 is a prime.

It is not a weakly prime, because it can be changed into another prime (249773033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124889016 + 124889017.

It is an arithmetic number, because the mean of its divisors is an integer number (124889017).

Almost surely, 2^249778033 is an apocalyptic number.

It is an amenable number.

249778033 is a deficient number, since it is larger than the sum of its proper divisors (1).

249778033 is an equidigital number, since it uses as much as digits as its factorization.

249778033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 249778033 is about 15804.3675292623. The cubic root of 249778033 is about 629.7740291449.

The spelling of 249778033 in words is "two hundred forty-nine million, seven hundred seventy-eight thousand, thirty-three".