13001958 has 48 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 4189320.

The previous prime is 13001917. The next prime is 13001959. The reversal of 13001958 is 85910031.

13001958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14635 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 2^13001958 is an apocalyptic number.

13001958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

13001958 is an abundant number, since it is smaller than the sum of its proper divisors (17189658).

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

13001958 is an equidigital number, since it uses as much as digits as its factorization.

13001958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13001958 is about 3605.8227909868. The cubic root of 13001958 is about 235.1452730854.

Adding to 13001958 its reverse (85910031), we get a palindrome (98911989).

The spelling of 13001958 in words is "thirteen million, one thousand, nine hundred fifty-eight".