1001525256 has 96 divisors (see below), whose sum is σ = 2843820000. Its totient is φ = 326583072.

The previous prime is 1001525251. The next prime is 1001525257. The reversal of 1001525256 is 6525251001.

It is a super-3 number, since 3×1001525256³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1001525251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476095 + ... + 478193.

It is an arithmetic number, because the mean of its divisors is an integer number (29623125).

Almost surely, 2^1001525256 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 1001525256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421910000).

1001525256 is an abundant number, since it is smaller than the sum of its proper divisors (1842294744).

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

1001525256 is a wasteful number, since it uses less digits than its factorization.

1001525256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1001525256 is about 31646.8838276378. The cubic root of 1001525256 is about 1000.5081603959.

Adding to 1001525256 its reverse (6525251001), we get a palindrome (7526776257).

The spelling of 1001525256 in words is "one billion, one million, five hundred twenty-five thousand, two hundred fifty-six".