1057688512 has 56 divisors (see below), whose sum is σ = 2173167104. Its totient is φ = 510354432.

The previous prime is 1057688503. The next prime is 1057688519. The reversal of 1057688512 is 2158867501.

It is a super-2 number, since 2×1057688512² = 2237409976833548288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057688519) 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, 298978 + ... + 302494.

Almost surely, 2^1057688512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086583552).

1057688512 is an abundant number, since it is smaller than the sum of its proper divisors (1115478592).

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

1057688512 is a wasteful number, since it uses less digits than its factorization.

1057688512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 43.

The square root of 1057688512 is about 32522.1234239095. The cubic root of 1057688512 is about 1018.8711438006.

The spelling of 1057688512 in words is "one billion, fifty-seven million, six hundred eighty-eight thousand, five hundred twelve".