1016005248 has 64 divisors (see below), whose sum is σ = 2998636800. Its totient is φ = 338667264.

The previous prime is 1016005217. The next prime is 1016005267. The reversal of 1016005248 is 8425006101.

1016005248 is a `hidden beast` number, since 1 + 0 + 1 + 600 + 52 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 143536 + ... + 150447.

It is an arithmetic number, because the mean of its divisors is an integer number (46853700).

Almost surely, 2^1016005248 is an apocalyptic number.

1016005248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1016005248 is an abundant number, since it is smaller than the sum of its proper divisors (1982631552).

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

1016005248 is an equidigital number, since it uses as much as digits as its factorization.

1016005248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294006 (or 293988 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1016005248 is about 31874.8372231138. The cubic root of 1016005248 is about 1005.3068699788.

The spelling of 1016005248 in words is "one billion, sixteen million, five thousand, two hundred forty-eight".