249749063001 has 81 divisors (see below), whose sum is σ = 394442514973. Its totient is φ = 152243535360.

The previous prime is 249749062943. The next prime is 249749063017. The reversal of 249749063001 is 100360947942.

It is a happy number.

The square root of 249749063001 is 499749.

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

249749063001 is a `hidden beast` number, since 2 + 4 + 9 + 7 + 4 + 9 + 0 + 630 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17594696025 + 232154366976 = 132645^2 + 481824^2 .

It is not a de Polignac number, because 249749063001 - 2⁹ = 249749062489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249749063021) 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 80 ways as a sum of consecutive naturals, for example, 1044975040 + ... + 1044975278.

Almost surely, 2^249749063001 is an apocalyptic number.

249749063001 is the 499749-th square number.

249749063001 is the 249875-th centered octagonal number.

It is an amenable number.

249749063001 is a deficient number, since it is larger than the sum of its proper divisors (144693451972).

249749063001 is an equidigital number, since it uses as much as digits as its factorization.

249749063001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 249749063001 in words is "two hundred forty-nine billion, seven hundred forty-nine million, sixty-three thousand, one".