1058313600 has 288 divisors, whose sum is σ = 3919046040. Its totient is φ = 282009600.

The previous prime is 1058313587. The next prime is 1058313601. The reversal of 1058313600 is 63138501.

1058313600 is a `hidden beast` number, since 1 + 0 + 58 + 3 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1058313600² = 2240055351889920000, which contains 22 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 (1058313601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776920 + ... + 778280.

Almost surely, 2^1058313600 is an apocalyptic number.

1058313600 is a gapful number since it is divisible by the number (10) 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 1058313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959523020).

1058313600 is an abundant number, since it is smaller than the sum of its proper divisors (2860732440).

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

1058313600 is an equidigital number, since it uses as much as digits as its factorization.

1058313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1058313600 is about 32531.7322010372. The cubic root of 1058313600 is about 1019.0718199904.

The spelling of 1058313600 in words is "one billion, fifty-eight million, three hundred thirteen thousand, six hundred".