13253058 has 160 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3265920.

The previous prime is 13253057. The next prime is 13253099. The reversal of 13253058 is 85035231.

It is a super-3 number, since 3×13253058³ (a number of 22 digits) contains 333 as substring.

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 (13253057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427503 + ... + 427533.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 2^13253058 is an apocalyptic number.

13253058 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 13253058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

13253058 is an abundant number, since it is smaller than the sum of its proper divisors (25776702).

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

13253058 is a wasteful number, since it uses less digits than its factorization.

13253058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13253058 is about 3640.4749690116. The cubic root of 13253058 is about 236.6493773876.

Adding to 13253058 its reverse (85035231), we get a palindrome (98288289).

The spelling of 13253058 in words is "thirteen million, two hundred fifty-three thousand, fifty-eight".