252778201 has 9 divisors (see below), whose sum is σ = 273942399. Its totient is φ = 233142936.

The previous prime is 252778187. The next prime is 252778241. The reversal of 252778201 is 102877252.

The square root of 252778201 is 15899.

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

252778201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37393225 + 215384976 = 6115^2 + 14676^2 .

It is a de Polignac number, because none of the positive numbers 2^k-252778201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252778241) 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, 206076 + ... + 207298.

Almost surely, 2^252778201 is an apocalyptic number.

252778201 is the 15899-th square number.

252778201 is the 7950-th centered octagonal number.

It is an amenable number.

252778201 is a deficient number, since it is larger than the sum of its proper divisors (21164198).

252778201 is an frugal number, since it uses more digits than its factorization.

252778201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The cubic root of 252778201 is about 632.2854764684.

The spelling of 252778201 in words is "two hundred fifty-two million, seven hundred seventy-eight thousand, two hundred one".