1057005071 has 8 divisors (see below), whose sum is σ = 1065966000. Its totient is φ = 1048057920.

The previous prime is 1057005013. The next prime is 1057005091. The reversal of 1057005071 is 1705007501.

1057005071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1057005071 - 2¹⁸ = 1056742927 is a prime.

It is a super-2 number, since 2×1057005071² = 2234519440239430082, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057005071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057005091) 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, 200315 + ... + 205523.

It is an arithmetic number, because the mean of its divisors is an integer number (133245750).

Almost surely, 2^1057005071 is an apocalyptic number.

1057005071 is a deficient number, since it is larger than the sum of its proper divisors (8960929).

1057005071 is a wasteful number, since it uses less digits than its factorization.

1057005071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889.

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 1057005071 is about 32511.6144016258. The cubic root of 1057005071 is about 1018.6516436540.

The spelling of 1057005071 in words is "one billion, fifty-seven million, five thousand, seventy-one".