325810205952 has 288 divisors, whose sum is σ = 1118382612480. Its totient is φ = 81707458560.

The previous prime is 325810205857. The next prime is 325810205953. The reversal of 325810205952 is 259502018523.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325810205953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619953 + ... + 1809935.

It is an arithmetic number, because the mean of its divisors is an integer number (3883272960).

Almost surely, 2^325810205952 is an apocalyptic number.

325810205952 is a gapful number since it is divisible by the number (32) 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 325810205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559191306240).

325810205952 is an abundant number, since it is smaller than the sum of its proper divisors (792572406528).

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

325810205952 is a wasteful number, since it uses less digits than its factorization.

325810205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190049 (or 190035 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 325810205952 in words is "three hundred twenty-five billion, eight hundred ten million, two hundred five thousand, nine hundred fifty-two".