205352253502 has 48 divisors (see below), whose sum is σ = 349653007872. Its totient is φ = 90290970000.

The previous prime is 205352253433. The next prime is 205352253511.

205352253502 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22583977 + ... + 22593067.

It is an arithmetic number, because the mean of its divisors is an integer number (7284437664).

Almost surely, 2^205352253502 is an apocalyptic number.

205352253502 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205352253502 is a deficient number, since it is larger than the sum of its proper divisors (144300754370).

205352253502 is a wasteful number, since it uses less digits than its factorization.

205352253502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12157 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 34.

It can be divided in two parts, 205352 and 253502, that added together give a palindrome (458854).

The spelling of 205352253502 in words is "two hundred five billion, three hundred fifty-two million, two hundred fifty-three thousand, five hundred two".