1057501152 has 72 divisors (see below), whose sum is σ = 3019456440. Its totient is φ = 351072000.

The previous prime is 1057501129. The next prime is 1057501163. The reversal of 1057501152 is 2511057501.

1057501152 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 501 + 152 = 666.

1057501152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1057501152² = 2236617372962654208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64974 + ... + 79602.

It is an arithmetic number, because the mean of its divisors is an integer number (41936895).

Almost surely, 2^1057501152 is an apocalyptic number.

1057501152 is a gapful number since it is divisible by the number (12) 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 1057501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509728220).

1057501152 is an abundant number, since it is smaller than the sum of its proper divisors (1961955288).

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

1057501152 is a wasteful number, since it uses less digits than its factorization.

1057501152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14896 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 1057501152 is about 32519.2427956126. The cubic root of 1057501152 is about 1018.8109789638.

Adding to 1057501152 its reverse (2511057501), we get a palindrome (3568558653).

The spelling of 1057501152 in words is "one billion, fifty-seven million, five hundred one thousand, one hundred fifty-two".