1053250560 has 352 divisors, whose sum is σ = 3949891200. Its totient is φ = 265420800.

The previous prime is 1053250553. The next prime is 1053250567. The reversal of 1053250560 is 650523501.

1053250560 is a `hidden beast` number, since 1 + 0 + 53 + 2 + 50 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1053250553) and next prime (1053250567).

It is a super-2 number, since 2×1053250560² = 2218673484280627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053250567) 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 31 ways as a sum of consecutive naturals, for example, 2626360 + ... + 2626760.

Almost surely, 2^1053250560 is an apocalyptic number.

1053250560 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 1053250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974945600).

1053250560 is an abundant number, since it is smaller than the sum of its proper divisors (2896640640).

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

1053250560 is a wasteful number, since it uses less digits than its factorization.

1053250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1053250560 is about 32453.8219629060. The cubic root of 1053250560 is about 1017.4441199463. Note that the first 3 decimals are identical.

The spelling of 1053250560 in words is "one billion, fifty-three million, two hundred fifty thousand, five hundred sixty".