1057864329 has 12 divisors (see below), whose sum is σ = 1565295732. Its totient is φ = 688041600.

The previous prime is 1057864319. The next prime is 1057864331. The reversal of 1057864329 is 9234687501.

1057864329 is a `hidden beast` number, since 10 + 578 + 6 + 43 + 29 = 666.

1057864329 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 382124304 + 675740025 = 19548^2 + 25995^2 .

It is not a de Polignac number, because 1057864329 - 2¹⁶ = 1057798793 is a prime.

It is a super-2 number, since 2×1057864329² = 2238153877141240482, which contains 22 as substring.

1057864329 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1057864309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1433052 + ... + 1433789.

It is an arithmetic number, because the mean of its divisors is an integer number (130441311).

It is a 1-persistent number, because it is pandigital, but 2⋅1057864329 = 2115728658 is not.

Almost surely, 2^1057864329 is an apocalyptic number.

It is an amenable number.

1057864329 is a deficient number, since it is larger than the sum of its proper divisors (507431403).

1057864329 is a wasteful number, since it uses less digits than its factorization.

1057864329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866888 (or 2866885 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1057864329 is about 32524.8263484988. The cubic root of 1057864329 is about 1018.9275955004.

The spelling of 1057864329 in words is "one billion, fifty-seven million, eight hundred sixty-four thousand, three hundred twenty-nine".