1053158000 has 80 divisors (see below), whose sum is σ = 2570430720. Its totient is φ = 417312000.

The previous prime is 1053157993. The next prime is 1053158039. The reversal of 1053158000 is 8513501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1053158000² = 2218283545928000000, which contains 22 as substring.

It is a congruent number.

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, 215585 + ... + 220415.

It is an arithmetic number, because the mean of its divisors is an integer number (32130384).

Almost surely, 2^1053158000 is an apocalyptic number.

1053158000 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 1053158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285215360).

1053158000 is an abundant number, since it is smaller than the sum of its proper divisors (1517272720).

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

1053158000 is a wasteful number, since it uses less digits than its factorization.

1053158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 1053158000 is about 32452.3959053873. The cubic root of 1053158000 is about 1017.4143146337.

The spelling of 1053158000 in words is "one billion, fifty-three million, one hundred fifty-eight thousand".