1055835000 has 480 divisors, whose sum is σ = 4093689600. Its totient is φ = 252720000.

The previous prime is 1055834971. The next prime is 1055835007. The reversal of 1055835000 is 5385501.

1055835000 is a `hidden beast` number, since 105 + 58 + 3 + 500 + 0 = 666.

It is a super-2 number, since 2×1055835000² = 2229575094450000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055835007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13364961 + ... + 13365039.

It is an arithmetic number, because the mean of its divisors is an integer number (8528520).

Almost surely, 2^1055835000 is an apocalyptic number.

1055835000 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 1055835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046844800).

1055835000 is an abundant number, since it is smaller than the sum of its proper divisors (3037854600).

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

1055835000 is an equidigital number, since it uses as much as digits as its factorization.

1055835000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1055835000 is about 32493.6147573643. The cubic root of 1055835000 is about 1018.2756332175.

The spelling of 1055835000 in words is "one billion, fifty-five million, eight hundred thirty-five thousand".