1825205538 has 64 divisors (see below), whose sum is σ = 4198118400. Its totient is φ = 524724480.

The previous prime is 1825205537. The next prime is 1825205539. The reversal of 1825205538 is 8355025281.

It is an interprime number because it is at equal distance from previous prime (1825205537) and next prime (1825205539).

It is a super-3 number, since 3×1825205538³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1825205496 and 1825205505.

It is not an unprimeable number, because it can be changed into a prime (1825205537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57108 + ... + 83136.

It is an arithmetic number, because the mean of its divisors is an integer number (65595600).

Almost surely, 2^1825205538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825205538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099059200).

1825205538 is an abundant number, since it is smaller than the sum of its proper divisors (2372912862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1825205538 is a wasteful number, since it uses less digits than its factorization.

1825205538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26107.

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 1825205538 is about 42722.4242991898. The cubic root of 1825205538 is about 1222.0920697655.

The spelling of 1825205538 in words is "one billion, eight hundred twenty-five million, two hundred five thousand, five hundred thirty-eight".