1076511825 has 72 divisors (see below), whose sum is σ = 2052156600. Its totient is φ = 537569280.

The previous prime is 1076511811. The next prime is 1076511841. The reversal of 1076511825 is 5281156701.

It can be written as a sum of positive squares in 12 ways, for example, as 46294416 + 1030217409 = 6804^2 + 32097^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1076511825 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1076511825.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 875311 + ... + 876539.

It is an arithmetic number, because the mean of its divisors is an integer number (28502175).

Almost surely, 2^1076511825 is an apocalyptic number.

1076511825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1076511825 is a deficient number, since it is larger than the sum of its proper divisors (975644775).

1076511825 is a wasteful number, since it uses less digits than its factorization.

1076511825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1076511825 is about 32810.2396364306. The cubic root of 1076511825 is about 1024.8798034746.

The spelling of 1076511825 in words is "one billion, seventy-six million, five hundred eleven thousand, eight hundred twenty-five".