1008055752 has 32 divisors (see below), whose sum is σ = 2749243680. Its totient is φ = 305471360.

The previous prime is 1008055739. The next prime is 1008055771. The reversal of 1008055752 is 2575508001.

It is a happy number.

1008055752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1908933 + ... + 1909460.

It is an arithmetic number, because the mean of its divisors is an integer number (85913865).

Almost surely, 2^1008055752 is an apocalyptic number.

1008055752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008055752 is an abundant number, since it is smaller than the sum of its proper divisors (1741187928).

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

1008055752 is a wasteful number, since it uses less digits than its factorization.

1008055752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818413 (or 3818409 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 1008055752 is about 31749.8937321056. The cubic root of 1008055752 is about 1002.6780721936.

The spelling of 1008055752 in words is "one billion, eight million, fifty-five thousand, seven hundred fifty-two".