58000512 has 64 divisors (see below), whose sum is σ = 155374560. Its totient is φ = 19169280.

The previous prime is 58000511. The next prime is 58000513. The reversal of 58000512 is 21500085.

It is an interprime number because it is at equal distance from previous prime (58000511) and next prime (58000513).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58000511) 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, 49728 + ... + 50880.

Almost surely, 2^58000512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77687280).

58000512 is an abundant number, since it is smaller than the sum of its proper divisors (97374048).

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

58000512 is a wasteful number, since it uses less digits than its factorization.

58000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 58000512 is about 7615.8067202365. The cubic root of 58000512 is about 387.0888030760.

Adding to 58000512 its reverse (21500085), we get a palindrome (79500597).

The spelling of 58000512 in words is "fifty-eight million, five hundred twelve", and thus it is an aban number.