1058769312 has 48 divisors (see below), whose sum is σ = 2795954112. Its totient is φ = 350804480.

The previous prime is 1058769307. The next prime is 1058769317. The reversal of 1058769312 is 2139678501.

1058769312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1058769307) and next prime (1058769317).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1058769312² = 2241984912065906688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1058769317) 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, 16989 + ... + 49052.

It is an arithmetic number, because the mean of its divisors is an integer number (58249044).

Almost surely, 2^1058769312 is an apocalyptic number.

1058769312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1058769312 is an abundant number, since it is smaller than the sum of its proper divisors (1737184800).

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

1058769312 is a wasteful number, since it uses less digits than its factorization.

1058769312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66221 (or 66213 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1058769312 is about 32538.7355624032. The cubic root of 1058769312 is about 1019.2180704703.

The spelling of 1058769312 in words is "one billion, fifty-eight million, seven hundred sixty-nine thousand, three hundred twelve".