1058717952 has 288 divisors, whose sum is σ = 3325342720. Its totient is φ = 335923200.

The previous prime is 1058717951. The next prime is 1058717969. The reversal of 1058717952 is 2597178501.

1058717952 is a `hidden beast` number, since 1 + 0 + 587 + 17 + 9 + 52 = 666.

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

It is a super-2 number, since 2×1058717952² = 2241767403774148608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1058717898 and 1058717907.

It is not an unprimeable number, because it can be changed into a prime (1058717951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17356002 + ... + 17356062.

Almost surely, 2^1058717952 is an apocalyptic number.

1058717952 is a gapful number since it is divisible by the number (12) 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 1058717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662671360).

1058717952 is an abundant number, since it is smaller than the sum of its proper divisors (2266624768).

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

1058717952 is an frugal number, since it uses more digits than its factorization.

1058717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 1058717952 is about 32537.9463396201. The cubic root of 1058717952 is about 1019.2015897362.

The spelling of 1058717952 in words is "one billion, fifty-eight million, seven hundred seventeen thousand, nine hundred fifty-two".