1057839552 has 672 divisors, whose sum is σ = 4245156864. Its totient is φ = 243302400.

The previous prime is 1057839539. The next prime is 1057839553. The reversal of 1057839552 is 2559387501.

1057839552 is a `hidden beast` number, since 10 + 5 + 7 + 83 + 9 + 552 = 666.

1057839552 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 (672).

It is a super-2 number, since 2×1057839552² = 2238049035551121408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057839498 and 1057839507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057839553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17341602 + ... + 17341662.

Almost surely, 2^1057839552 is an apocalyptic number.

1057839552 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 1057839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122578432).

1057839552 is an abundant number, since it is smaller than the sum of its proper divisors (3187317312).

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

1057839552 is a wasteful number, since it uses less digits than its factorization.

1057839552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 1057839552 is about 32524.4454526130. The cubic root of 1057839552 is about 1018.9196404267.

The spelling of 1057839552 in words is "one billion, fifty-seven million, eight hundred thirty-nine thousand, five hundred fifty-two".