1024512825 has 72 divisors (see below), whose sum is σ = 1984694400. Its totient is φ = 464956800.

The previous prime is 1024512823. The next prime is 1024512829. The reversal of 1024512825 is 5282154201.

1024512825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1024512825 - 2¹ = 1024512823 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1024512792 and 1024512801.

It is not an unprimeable number, because it can be changed into a prime (1024512823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546640 + ... + 548510.

It is an arithmetic number, because the mean of its divisors is an integer number (27565200).

Almost surely, 2^1024512825 is an apocalyptic number.

1024512825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1024512825 is a deficient number, since it is larger than the sum of its proper divisors (960181575).

1024512825 is a wasteful number, since it uses less digits than its factorization.

1024512825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 1024512825 is about 32008.0118876509. The cubic root of 1024512825 is about 1008.1050719946.

The spelling of 1024512825 in words is "one billion, twenty-four million, five hundred twelve thousand, eight hundred twenty-five".