1053117000 has 192 divisors, whose sum is σ = 3833771760. Its totient is φ = 259200000.

The previous prime is 1053116963. The next prime is 1053117007. The reversal of 1053117000 is 7113501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37675044 + 1015441956 = 6138^2 + 31866^2 .

It is a super-2 number, since 2×1053117000² = 2218110831378000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1053117007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112500 + ... + 121500.

Almost surely, 2^1053117000 is an apocalyptic number.

1053117000 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 1053117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916885880).

1053117000 is an abundant number, since it is smaller than the sum of its proper divisors (2780654760).

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

1053117000 is a wasteful number, since it uses less digits than its factorization.

1053117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 1053117000 is about 32451.7642047393. The cubic root of 1053117000 is about 1017.4011116359.

The spelling of 1053117000 in words is "one billion, fifty-three million, one hundred seventeen thousand".