1057945536 has 280 divisors, whose sum is σ = 3452042880. Its totient is φ = 318878208.

The previous prime is 1057945523. The next prime is 1057945571. The reversal of 1057945536 is 6355497501.

1057945536 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 94 + 553 + 6 = 666.

It is a super-2 number, since 2×1057945536² = 2238497514284654592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057945491 and 1057945500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2265175 + ... + 2265641.

Almost surely, 2^1057945536 is an apocalyptic number.

1057945536 is a gapful number since it is divisible by the number (16) 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 1057945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726021440).

1057945536 is an abundant number, since it is smaller than the sum of its proper divisors (2394097344).

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

1057945536 is a wasteful number, since it uses less digits than its factorization.

1057945536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 1057945536 is about 32526.0747093774. The cubic root of 1057945536 is about 1018.9536675067.

The spelling of 1057945536 in words is "one billion, fifty-seven million, nine hundred forty-five thousand, five hundred thirty-six".