1053015264 has 288 divisors, whose sum is σ = 3704762880. Its totient is φ = 276950016.

The previous prime is 1053015217. The next prime is 1053015269. The reversal of 1053015264 is 4625103501.

1053015264 is a `hidden beast` number, since 105 + 30 + 1 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1053015264² = 2217682292433979392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053015269) 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 47 ways as a sum of consecutive naturals, for example, 1416877 + ... + 1417619.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 2^1053015264 is an apocalyptic number.

1053015264 is a gapful number since it is divisible by the number (14) 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 1053015264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

1053015264 is an abundant number, since it is smaller than the sum of its proper divisors (2651747616).

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

1053015264 is a wasteful number, since it uses less digits than its factorization.

1053015264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1053015264 is about 32450.1966712068. The cubic root of 1053015264 is about 1017.3683486879.

Adding to 1053015264 its reverse (4625103501), we get a palindrome (5678118765).

The spelling of 1053015264 in words is "one billion, fifty-three million, fifteen thousand, two hundred sixty-four".