205303425024 has 96 divisors (see below), whose sum is σ = 548100876960. Its totient is φ = 68339613696.

The previous prime is 205303425023. The next prime is 205303425043. The reversal of 205303425024 is 420524303502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×205303425024³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205303424982 and 205303425000.

It is not an unprimeable number, because it can be changed into a prime (205303425023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4480759 + ... + 4526345.

It is an arithmetic number, because the mean of its divisors is an integer number (5709384135).

Almost surely, 2^205303425024 is an apocalyptic number.

205303425024 is a gapful number since it is divisible by the number (24) 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 205303425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274050438480).

205303425024 is an abundant number, since it is smaller than the sum of its proper divisors (342797451936).

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

205303425024 is an equidigital number, since it uses as much as digits as its factorization.

205303425024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46345 (or 46325 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 205303425024 its reverse (420524303502), we get a palindrome (625827728526).

The spelling of 205303425024 in words is "two hundred five billion, three hundred three million, four hundred twenty-five thousand, twenty-four".