259242201 has 15 divisors (see below), whose sum is σ = 387479631. Its totient is φ = 172731528.

The previous prime is 259242173. The next prime is 259242211. The reversal of 259242201 is 102242952.

It is a happy number.

The square root of 259242201 is 16101.

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

It can be written as a sum of positive squares in only one way, i.e., 244953801 + 14288400 = 15651^2 + 3780^2 .

It is not a de Polignac number, because 259242201 - 2²³ = 250853593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (259242211) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 144015 + ... + 145803.

Almost surely, 2^259242201 is an apocalyptic number.

259242201 is the 16101-st square number.

259242201 is the 8051-st centered octagonal number.

It is an amenable number.

259242201 is a deficient number, since it is larger than the sum of its proper divisors (128237430).

259242201 is an frugal number, since it uses more digits than its factorization.

259242201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 259242201 is about 637.6297424515.

The spelling of 259242201 in words is "two hundred fifty-nine million, two hundred forty-two thousand, two hundred one".