1005525144 has 256 divisors, whose sum is σ = 3241728000. Its totient is φ = 286156800.

The previous prime is 1005525139. The next prime is 1005525179. The reversal of 1005525144 is 4415255001.

1005525144 is a `hidden beast` number, since 100 + 552 + 5 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×1005525144² = 2022161630432441472, 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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2507344 + ... + 2507744.

It is an arithmetic number, because the mean of its divisors is an integer number (12663000).

Almost surely, 2^1005525144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005525144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620864000).

1005525144 is an abundant number, since it is smaller than the sum of its proper divisors (2236202856).

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

1005525144 is a wasteful number, since it uses less digits than its factorization.

1005525144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1005525144 is about 31710.0164616797. The cubic root of 1005525144 is about 1001.8383331271.

The spelling of 1005525144 in words is "one billion, five million, five hundred twenty-five thousand, one hundred forty-four".