58253000 has 64 divisors (see below), whose sum is σ = 146830320. Its totient is φ = 21504000.

The previous prime is 58252981. The next prime is 58253009. The reversal of 58253000 is 35285.

It can be written as a sum of positive squares in 8 ways, for example, as 1069156 + 57183844 = 1034^2 + 7562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58253009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10760 + ... + 15240.

Almost surely, 2^58253000 is an apocalyptic number.

58253000 is a gapful number since it is divisible by the number (50) 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 58253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73415160).

58253000 is an abundant number, since it is smaller than the sum of its proper divisors (88577320).

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

58253000 is a wasteful number, since it uses less digits than its factorization.

58253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 58253000 is about 7632.3652952410. The cubic root of 58253000 is about 387.6496820283.

Adding to 58253000 its reverse (35285), we get a palindrome (58288285).

The spelling of 58253000 in words is "fifty-eight million, two hundred fifty-three thousand".