13005050 has 24 divisors (see below), whose sum is σ = 25026300. Its totient is φ = 5022080.

The previous prime is 13005037. The next prime is 13005053. The reversal of 13005050 is 5050031.

It can be written as a sum of positive squares in 6 ways, for example, as 5013121 + 7991929 = 2239^2 + 2827^2 .

13005050 is a modest number, since divided by 5050 gives 1300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13005053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3035 + ... + 5934.

Almost surely, 2^13005050 is an apocalyptic number.

13005050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005050 is a deficient number, since it is larger than the sum of its proper divisors (12021250).

13005050 is a wasteful number, since it uses less digits than its factorization.

13005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 13005050 is about 3606.2515164642. The cubic root of 13005050 is about 235.1639116001.

Adding to 13005050 its reverse (5050031), we get a palindrome (18055081).

It can be divided in two parts, 130050 and 50, that multiplied together give a square (6502500 = 2550²).

The spelling of 13005050 in words is "thirteen million, five thousand, fifty".