249993000049 has 9 divisors (see below), whose sum is σ = 270709517889. Its totient is φ = 230756769360.

The previous prime is 249993000011. The next prime is 249993000077. The reversal of 249993000049 is 940000399942.

The square root of 249993000049 is 499993.

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

It can be written as a sum of positive squares in 4 ways, for example, as 115474234225 + 134518765824 = 339815^2 + 366768^2 .

It is not a de Polignac number, because 249993000049 - 2¹¹ = 249992998001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 249992999966 and 249993000011.

It is not an unprimeable number, because it can be changed into a prime (249993000749) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6480679 + ... + 6519139.

It is an arithmetic number, because the mean of its divisors is an integer number (30078835321).

Almost surely, 2^249993000049 is an apocalyptic number.

249993000049 is the 499993-rd square number.

249993000049 is the 249997-th centered octagonal number.

It is an amenable number.

249993000049 is a deficient number, since it is larger than the sum of its proper divisors (20716517840).

249993000049 is an frugal number, since it uses more digits than its factorization.

249993000049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76948 (or 38474 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

Multiplying 249993000049 by its sum of digits (49), we get a square (12249657002401 = 3499951²).

The spelling of 249993000049 in words is "two hundred forty-nine billion, nine hundred ninety-three million, forty-nine", and thus it is an aban number.