202500000000 has 495 divisors, whose sum is σ = 754772933761. Its totient is φ = 54000000000.

The previous prime is 202499999993. The next prime is 202500000049. The reversal of 202500000000 is 5202.

The square root of 202500000000 is 450000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 1164720384 + 201335279616 = 34128^2 + 448704^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 7500 × 4500 × 6000.

It is an unprimeable number.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 40499999998 + ... + 40500000002.

Almost surely, 2^202500000000 is an apocalyptic number.

202500000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202500000000 is the 450000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202500000000

202500000000 is an abundant number, since it is smaller than the sum of its proper divisors (552272933761).

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

202500000000 is an frugal number, since it uses more digits than its factorization.

202500000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

Adding to 202500000000 its reverse (5202), we get a palindrome (202500005202).

The spelling of 202500000000 in words is "two hundred two billion, five hundred million", and thus it is an aban number.