202527900961 has 9 divisors (see below), whose sum is σ = 208166681331. Its totient is φ = 197037972792.

The previous prime is 202527900943. The next prime is 202527900979. The reversal of 202527900961 is 169009725202.

The square root of 202527900961 is 450031.

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

It is an interprime number because it is at equal distance from previous prime (202527900943) and next prime (202527900979).

It can be written as a sum of positive squares in only one way, i.e., 181224747025 + 21303153936 = 425705^2 + 145956^2 .

It is not a de Polignac number, because 202527900961 - 2⁷ = 202527900833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202527900901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16645066 + ... + 16657228.

It is an arithmetic number, because the mean of its divisors is an integer number (23129631259).

Almost surely, 2^202527900961 is an apocalyptic number.

202527900961 is the 450031-st square number.

202527900961 is the 225016-th centered octagonal number.

It is an amenable number.

202527900961 is a deficient number, since it is larger than the sum of its proper divisors (5638780370).

202527900961 is an frugal number, since it uses more digits than its factorization.

202527900961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24400 (or 12200 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 202527900961 in words is "two hundred two billion, five hundred twenty-seven million, nine hundred thousand, nine hundred sixty-one".