13058000 has 40 divisors (see below), whose sum is σ = 31579080. Its totient is φ = 5222400.

The previous prime is 13057973. The next prime is 13058009. The reversal of 13058000 is 85031.

It can be written as a sum of positive squares in 4 ways, for example, as 2534464 + 10523536 = 1592^2 + 3244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×13058000³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13058000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13058009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1265 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (789477).

Almost surely, 2^13058000 is an apocalyptic number.

13058000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13058000 is an abundant number, since it is smaller than the sum of its proper divisors (18521080).

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

13058000 is an equidigital number, since it uses as much as digits as its factorization.

13058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6552 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13058000 is about 3613.5854770574. The cubic root of 13058000 is about 235.4826356834.

The spelling of 13058000 in words is "thirteen million, fifty-eight thousand".