13050000 has 180 divisors, whose sum is σ = 47223540. Its totient is φ = 3360000.

The previous prime is 13049987. The next prime is 13050043. The reversal of 13050000 is 5031.

It can be written as a sum of positive squares in 6 ways, for example, as 10653696 + 2396304 = 3264^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449986 + ... + 450014.

It is an arithmetic number, because the mean of its divisors is an integer number (262353).

Almost surely, 2^13050000 is an apocalyptic number.

13050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611770).

13050000 is an abundant number, since it is smaller than the sum of its proper divisors (34173540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13050000 is an equidigital number, since it uses as much as digits as its factorization.

13050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 13050000 is about 3612.4783736377. The cubic root of 13050000 is about 235.4345362824.

Adding to 13050000 its reverse (5031), we get a palindrome (13055031).

The spelling of 13050000 in words is "thirteen million, fifty thousand".