1057050540 has 384 divisors, whose sum is σ = 4139520000. Its totient is φ = 222518016.

The previous prime is 1057050487. The next prime is 1057050601. The reversal of 1057050540 is 450507501.

1057050540 is a `hidden beast` number, since 1 + 0 + 5 + 70 + 50 + 540 = 666.

It is a super-4 number, since 4×1057050540⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2407641 + ... + 2408079.

It is an arithmetic number, because the mean of its divisors is an integer number (10780000).

Almost surely, 2^1057050540 is an apocalyptic number.

1057050540 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 1057050540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069760000).

1057050540 is an abundant number, since it is smaller than the sum of its proper divisors (3082469460).

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

1057050540 is a wasteful number, since it uses less digits than its factorization.

1057050540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 1057050540 is about 32512.3136672861. The cubic root of 1057050540 is about 1018.6662498304. Note that the first 3 decimals are identical.

The spelling of 1057050540 in words is "one billion, fifty-seven million, fifty thousand, five hundred forty".