71057313 has 12 divisors (see below), whose sum is σ = 103007268. Its totient is φ = 47201280.

The previous prime is 71057303. The next prime is 71057323. The reversal of 71057313 is 31375017.

It is an interprime number because it is at equal distance from previous prime (71057303) and next prime (71057323).

It can be written as a sum of positive squares in 2 ways, for example, as 16548624 + 54508689 = 4068^2 + 7383^2 .

It is not a de Polignac number, because 71057313 - 2⁶ = 71057249 is a prime.

It is a super-3 number, since 3×71057313³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71057303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11520 + ... + 16577.

It is an arithmetic number, because the mean of its divisors is an integer number (8583939).

Almost surely, 2^71057313 is an apocalyptic number.

It is an amenable number.

71057313 is a deficient number, since it is larger than the sum of its proper divisors (31949955).

71057313 is a wasteful number, since it uses less digits than its factorization.

71057313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28384 (or 28381 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 71057313 is about 8429.5499879887. The cubic root of 71057313 is about 414.1931640778.

The spelling of 71057313 in words is "seventy-one million, fifty-seven thousand, three hundred thirteen".