1827705825 has 72 divisors (see below), whose sum is σ = 3579994080. Its totient is φ = 883987200.

The previous prime is 1827705811. The next prime is 1827705829. The reversal of 1827705825 is 5285077281.

It is not a de Polignac number, because 1827705825 - 2⁷ = 1827705697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1827705829) 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, 1531429 + ... + 1532621.

It is an arithmetic number, because the mean of its divisors is an integer number (49722140).

Almost surely, 2^1827705825 is an apocalyptic number.

1827705825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1827705825 is a deficient number, since it is larger than the sum of its proper divisors (1752288255).

1827705825 is a wasteful number, since it uses less digits than its factorization.

1827705825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 1827705825 is about 42751.6762829249. The cubic root of 1827705825 is about 1222.6498492715.

The spelling of 1827705825 in words is "one billion, eight hundred twenty-seven million, seven hundred five thousand, eight hundred twenty-five".