202506300049 has 27 divisors (see below), whose sum is σ = 218076495537. Its totient is φ = 188009324544.

The previous prime is 202506300037. The next prime is 202506300053. The reversal of 202506300049 is 940003605202.

The square root of 202506300049 is 450007.

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

It can be written as a sum of positive squares in 4 ways, for example, as 135134906449 + 67371393600 = 367607^2 + 259560^2 .

It is not a de Polignac number, because 202506300049 - 2¹⁵ = 202506267281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202506303049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 787962129 + ... + 787962385.

Almost surely, 2^202506300049 is an apocalyptic number.

202506300049 is the 450007-th square number.

202506300049 is the 225004-th centered octagonal number.

It is an amenable number.

202506300049 is a deficient number, since it is larger than the sum of its proper divisors (15570195488).

202506300049 is an frugal number, since it uses more digits than its factorization.

202506300049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 202506300049 in words is "two hundred two billion, five hundred six million, three hundred thousand, forty-nine".