1042509312 has 160 divisors (see below), whose sum is σ = 3323849760. Its totient is φ = 320716800.

The previous prime is 1042509287. The next prime is 1042509331. The reversal of 1042509312 is 2139052401.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176812 + ... + 182612.

It is an arithmetic number, because the mean of its divisors is an integer number (20774061).

Almost surely, 2^1042509312 is an apocalyptic number.

1042509312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042509312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661924880).

1042509312 is an abundant number, since it is smaller than the sum of its proper divisors (2281340448).

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

1042509312 is an equidigital number, since it uses as much as digits as its factorization.

1042509312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1042509312 is about 32287.9127848178. The cubic root of 1042509312 is about 1013.9735996768.

The spelling of 1042509312 in words is "one billion, forty-two million, five hundred nine thousand, three hundred twelve".