1057132180 has 144 divisors (see below), whose sum is σ = 2523467520. Its totient is φ = 371464704.

The previous prime is 1057132171. The next prime is 1057132189. The reversal of 1057132180 is 812317501.

It is an interprime number because it is at equal distance from previous prime (1057132171) and next prime (1057132189).

It is a super-2 number, since 2×1057132180² = 2235056891983104800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057132189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9879687 + ... + 9879793.

It is an arithmetic number, because the mean of its divisors is an integer number (17524080).

Almost surely, 2^1057132180 is an apocalyptic number.

1057132180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057132180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261733760).

1057132180 is an abundant number, since it is smaller than the sum of its proper divisors (1466335340).

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

1057132180 is a wasteful number, since it uses less digits than its factorization.

1057132180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1057132180 is about 32513.5691673492. The cubic root of 1057132180 is about 1018.6924743008.

Adding to 1057132180 its reverse (812317501), we get a palindrome (1869449681).

The spelling of 1057132180 in words is "one billion, fifty-seven million, one hundred thirty-two thousand, one hundred eighty".