249999000001 has 15 divisors (see below), whose sum is σ = 260373816033. Its totient is φ = 240029519940.

The previous prime is 249998999981. The next prime is 249999000007. The reversal of 249999000001 is 100000999942.

The square root of 249999000001 is 499999.

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

It is not a de Polignac number, because 249999000001 - 2¹⁷ = 249998868929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249999000007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1968496000 + ... + 1968496126.

Almost surely, 2^249999000001 is an apocalyptic number.

249999000001 is the 499999-th square number.

249999000001 is the 250000-th centered octagonal number.

It is an amenable number.

249999000001 is a deficient number, since it is larger than the sum of its proper divisors (10374816032).

249999000001 is an frugal number, since it uses more digits than its factorization.

249999000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 43.

Adding to 249999000001 its reverse (100000999942), we get a palindrome (349999999943).

It can be divided in two parts, 2499 and 99000001, that added together give a square (99002500 = 9950²).

The spelling of 249999000001 in words is "two hundred forty-nine billion, nine hundred ninety-nine million, one", and thus it is an aban number.