202540505552 has 120 divisors (see below), whose sum is σ = 516360290112. Its totient is φ = 74758464000.

The previous prime is 202540505549. The next prime is 202540505599. The reversal of 202540505552 is 255505045202.

202540505552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 217052 + ... + 672452.

Almost surely, 2^202540505552 is an apocalyptic number.

202540505552 is a gapful number since it is divisible by the number (22) 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 202540505552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258180145056).

202540505552 is an abundant number, since it is smaller than the sum of its proper divisors (313819784560).

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

202540505552 is a wasteful number, since it uses less digits than its factorization.

202540505552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455465 (or 455440 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 35.

The spelling of 202540505552 in words is "two hundred two billion, five hundred forty million, five hundred five thousand, five hundred fifty-two".