202500900001 has 3 divisors (see below), whose sum is σ = 202501350003. Its totient is φ = 202500450000.

The previous prime is 202500899987. The next prime is 202500900029. The reversal of 202500900001 is 100009005202.

The square root of 202500900001 is 450001.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 136307901601 + 66192998400 = 369199^2 + 257280^2 .

It is not a de Polignac number, because 202500900001 - 2⁵ = 202500899969 is a prime.

It is a super-2 number, since 2×202500900001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202500900061) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 225001 + ... + 675001.

It is an arithmetic number, because the mean of its divisors is an integer number (67500450001).

Almost surely, 2^202500900001 is an apocalyptic number.

202500900001 is the 450001-st square number.

202500900001 is the 225001-st centered octagonal number.

It is an amenable number.

202500900001 is a deficient number, since it is larger than the sum of its proper divisors (450002).

202500900001 is an frugal number, since it uses more digits than its factorization.

202500900001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900002 (or 450001 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 202500900001 its reverse (100009005202), we get a palindrome (302509905203).

The spelling of 202500900001 in words is "two hundred two billion, five hundred million, nine hundred thousand, one".