1054165248 has 108 divisors (see below), whose sum is σ = 3067073100. Its totient is φ = 348192768.

The previous prime is 1054165243. The next prime is 1054165271. The reversal of 1054165248 is 8425614501.

It is a happy number.

1054165248 is a `hidden beast` number, since 10 + 541 + 65 + 2 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 946669824 = 10368^2 + 30768^2 .

It is a super-2 number, since 2×1054165248² = 2222528740181803008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1054165243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258328 + ... + 262376.

It is an arithmetic number, because the mean of its divisors is an integer number (28398825).

Almost surely, 2^1054165248 is an apocalyptic number.

1054165248 is a gapful number since it is divisible by the number (18) 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 1054165248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533536550).

1054165248 is an abundant number, since it is smaller than the sum of its proper divisors (2012907852).

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

1054165248 is a wasteful number, since it uses less digits than its factorization.

1054165248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1054165248 is about 32467.9110507590. The cubic root of 1054165248 is about 1017.7385654432.

Adding to 1054165248 its reverse (8425614501), we get a palindrome (9479779749).

The spelling of 1054165248 in words is "one billion, fifty-four million, one hundred sixty-five thousand, two hundred forty-eight".