1813265405952 has 1152 divisors, whose sum is σ = 6685503552000. Its totient is φ = 433954160640.

The previous prime is 1813265405927. The next prime is 1813265405983. The reversal of 1813265405952 is 2595045623181.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1813265405895 and 1813265405904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3314927343 + ... + 3314927889.

It is an arithmetic number, because the mean of its divisors is an integer number (5803388500).

Almost surely, 2^{1813265405952} is an apocalyptic number.

1813265405952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813265405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342751776000).

1813265405952 is an abundant number, since it is smaller than the sum of its proper divisors (4872238146048).

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

1813265405952 is a wasteful number, since it uses less digits than its factorization.

1813265405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 1813265405952 in words is "one trillion, eight hundred thirteen billion, two hundred sixty-five million, four hundred five thousand, nine hundred fifty-two".