203505513040 has 80 divisors (see below), whose sum is σ = 480678127488. Its totient is φ = 80116812288.

The previous prime is 203505513023. The next prime is 203505513041. The reversal of 203505513040 is 40315505302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×203505513040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203505513041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267362 + ... + 1418878.

Almost surely, 2^203505513040 is an apocalyptic number.

203505513040 is a gapful number since it is divisible by the number (20) 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 203505513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240339063744).

203505513040 is an abundant number, since it is smaller than the sum of its proper divisors (277172614448).

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

203505513040 is a wasteful number, since it uses less digits than its factorization.

203505513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151796 (or 151790 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 203505513040 in words is "two hundred three billion, five hundred five million, five hundred thirteen thousand, forty".