1042511456 has 96 divisors (see below), whose sum is σ = 2520000000. Its totient is φ = 423190656.

The previous prime is 1042511453. The next prime is 1042511461. The reversal of 1042511456 is 6541152401.

1042511456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042511453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206045 + ... + 211043.

It is an arithmetic number, because the mean of its divisors is an integer number (26250000).

Almost surely, 2^1042511456 is an apocalyptic number.

1042511456 is a gapful number since it is divisible by the number (16) 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 1042511456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260000000).

1042511456 is an abundant number, since it is smaller than the sum of its proper divisors (1477488544).

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

1042511456 is an equidigital number, since it uses as much as digits as its factorization.

1042511456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1042511456 is about 32287.9459860797. The cubic root of 1042511456 is about 1013.9742947810.

Adding to 1042511456 its reverse (6541152401), we get a palindrome (7583663857).

The spelling of 1042511456 in words is "one billion, forty-two million, five hundred eleven thousand, four hundred fifty-six".