1057382013 has 8 divisors (see below), whose sum is σ = 1471140288. Its totient is φ = 674272544.

The previous prime is 1057382003. The next prime is 1057382017. The reversal of 1057382013 is 3102837501.

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 1057382013 - 2⁵ = 1057381981 is a prime.

It is a super-2 number, since 2×1057382013² = 2236113442831864338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057382017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7662120 + ... + 7662257.

It is an arithmetic number, because the mean of its divisors is an integer number (183892536).

Almost surely, 2^1057382013 is an apocalyptic number.

It is an amenable number.

1057382013 is a deficient number, since it is larger than the sum of its proper divisors (413758275).

1057382013 is a wasteful number, since it uses less digits than its factorization.

1057382013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15324403.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1057382013 is about 32517.4109209205. The cubic root of 1057382013 is about 1018.7727174830.

The spelling of 1057382013 in words is "one billion, fifty-seven million, three hundred eighty-two thousand, thirteen".