1012764825 has 72 divisors (see below), whose sum is σ = 1886765400. Its totient is φ = 518676480.

The previous prime is 1012764793. The next prime is 1012764827. The reversal of 1012764825 is 5284672101.

1012764825 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 7 + 648 + 2 + 5 = 666.

1012764825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 179345664 + 833419161 = 13392^2 + 28869^2 .

It is not a de Polignac number, because 1012764825 - 2⁵ = 1012764793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1012764825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012764827) 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, 1754937 + ... + 1755513.

It is an arithmetic number, because the mean of its divisors is an integer number (26205075).

Almost surely, 2^1012764825 is an apocalyptic number.

1012764825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012764825 is a deficient number, since it is larger than the sum of its proper divisors (874000575).

1012764825 is a wasteful number, since it uses less digits than its factorization.

1012764825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1012764825 is about 31823.9662047332. The cubic root of 1012764825 is about 1004.2369644451.

The spelling of 1012764825 in words is "one billion, twelve million, seven hundred sixty-four thousand, eight hundred twenty-five".