1054260000 has 180 divisors, whose sum is σ = 3747005262. Its totient is φ = 281088000.

The previous prime is 1054259963. The next prime is 1054260007. The reversal of 1054260000 is 624501.

It is a happy number.

1054260000 is a `hidden beast` number, since 10 + 54 + 2 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 147768336 + 906491664 = 12156^2 + 30108^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1054260000² = 2222928295200000000, 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 (1054260007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 177072 + ... + 182928.

Almost surely, 2^1054260000 is an apocalyptic number.

1054260000 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 1054260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873502631).

1054260000 is an abundant number, since it is smaller than the sum of its proper divisors (2692745262).

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

1054260000 is an equidigital number, since it uses as much as digits as its factorization.

1054260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1054260000 is about 32469.3701817575. The cubic root of 1054260000 is about 1017.7690571444.

Adding to 1054260000 its reverse (624501), we get a palindrome (1054884501).

The spelling of 1054260000 in words is "one billion, fifty-four million, two hundred sixty thousand".