1055757000 has 64 divisors (see below), whose sum is σ = 3293971200. Its totient is φ = 281534400.

The previous prime is 1055756993. The next prime is 1055757013. The reversal of 1055757000 is 7575501.

It is a super-2 number, since 2×1055757000² = 2229245686098000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172960 + ... + 178959.

It is an arithmetic number, because the mean of its divisors is an integer number (51468300).

Almost surely, 2^1055757000 is an apocalyptic number.

1055757000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055757000 is an abundant number, since it is smaller than the sum of its proper divisors (2238214200).

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

1055757000 is a wasteful number, since it uses less digits than its factorization.

1055757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351943 (or 351929 counting only the distinct ones).

The product of its (nonzero) digits is 6125, while the sum is 30.

The square root of 1055757000 is about 32492.4144993874. The cubic root of 1055757000 is about 1018.2505575016.

It can be divided in two parts, 105575 and 7000, that added together give a triangular number (112575 = T₄₇₄).

The spelling of 1055757000 in words is "one billion, fifty-five million, seven hundred fifty-seven thousand".