1036308825 has 36 divisors (see below), whose sum is σ = 1901432988. Its totient is φ = 539212800.

The previous prime is 1036308817. The next prime is 1036308851. The reversal of 1036308825 is 5288036301.

1036308825 is a `hidden beast` number, since 10 + 3 + 630 + 8 + 8 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50851161 + 985457664 = 7131^2 + 31392^2 .

It is not a de Polignac number, because 1036308825 - 2³ = 1036308817 is a prime.

It is a super-3 number, since 3×1036308825³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1036308825.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46944 + ... + 65393.

It is an arithmetic number, because the mean of its divisors is an integer number (52817583).

Almost surely, 2^1036308825 is an apocalyptic number.

1036308825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1036308825 is a deficient number, since it is larger than the sum of its proper divisors (865124163).

1036308825 is a wasteful number, since it uses less digits than its factorization.

1036308825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112394 (or 112386 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1036308825 is about 32191.7508843492. The cubic root of 1036308825 is about 1011.9593455550.

The spelling of 1036308825 in words is "one billion, thirty-six million, three hundred eight thousand, eight hundred twenty-five".