1008526752 has 72 divisors (see below), whose sum is σ = 2929058496. Its totient is φ = 329018496.

The previous prime is 1008526741. The next prime is 1008526759. The reversal of 1008526752 is 2576258001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (1008526759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23718 + ... + 50789.

It is an arithmetic number, because the mean of its divisors is an integer number (40681368).

Almost surely, 2^1008526752 is an apocalyptic number.

1008526752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008526752 is an abundant number, since it is smaller than the sum of its proper divisors (1920531744).

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

1008526752 is a wasteful number, since it uses less digits than its factorization.

1008526752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74570 (or 74559 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1008526752 is about 31757.3102135556. The cubic root of 1008526752 is about 1002.8342103296.

The spelling of 1008526752 in words is "one billion, eight million, five hundred twenty-six thousand, seven hundred fifty-two".