1057505000 has 40 divisors (see below), whose sum is σ = 2477745930. Its totient is φ = 423000000.

The previous prime is 1057504993. The next prime is 1057505023. The reversal of 1057505000 is 5057501.

It can be written as a sum of positive squares in 5 ways, for example, as 95140516 + 962364484 = 9754^2 + 31022^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1057505000² = 2236633650050000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 100751 + ... + 110750.

Almost surely, 2^1057505000 is an apocalyptic number.

1057505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057505000 is an abundant number, since it is smaller than the sum of its proper divisors (1420240930).

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

1057505000 is an equidigital number, since it uses as much as digits as its factorization.

1057505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211527 (or 211508 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 1057505000 is about 32519.3019605280. The cubic root of 1057505000 is about 1018.8122147008.

The spelling of 1057505000 in words is "one billion, fifty-seven million, five hundred five thousand".