249671601 has 27 divisors (see below), whose sum is σ = 378651819. Its totient is φ = 158515632.

The previous prime is 249671599. The next prime is 249671603. The reversal of 249671601 is 106176942.

The square root of 249671601 is 15801.

It is a perfect power (a square), and thus also a powerful number.

249671601 is a `hidden beast` number, since 2 + 49 + 6 + 7 + 1 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (249671599) and next prime (249671603).

It can be written as a sum of positive squares in only one way, i.e., 232532001 + 17139600 = 15249^2 + 4140^2 .

It is not a de Polignac number, because 249671601 - 2¹ = 249671599 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (249671603) 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 in 26 ways as a sum of consecutive naturals, for example, 1090155 + ... + 1090383.

Almost surely, 2^249671601 is an apocalyptic number.

249671601 is the 15801-st square number.

249671601 is the 7901-st centered octagonal number.

It is an amenable number.

249671601 is a deficient number, since it is larger than the sum of its proper divisors (128980218).

249671601 is an equidigital number, since it uses as much as digits as its factorization.

249671601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 249671601 is about 629.6845662041.

Multiplying 249671601 by its sum of digits (36), we get a square (8988177636 = 94806²).

The spelling of 249671601 in words is "two hundred forty-nine million, six hundred seventy-one thousand, six hundred one".