252720065 has 24 divisors (see below), whose sum is σ = 339743160. Its totient is φ = 180171264.

The previous prime is 252720053. The next prime is 252720077. The reversal of 252720065 is 560027252.

It is an interprime number because it is at equal distance from previous prime (252720053) and next prime (252720077).

It can be written as a sum of positive squares in 12 ways, for example, as 151757761 + 100962304 = 12319^2 + 10048^2 .

It is not a de Polignac number, because 252720065 - 2¹⁴ = 252703681 is a prime.

It is a super-3 number, since 3×252720065³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19349 + ... + 29661.

It is an arithmetic number, because the mean of its divisors is an integer number (14155965).

Almost surely, 2^252720065 is an apocalyptic number.

It is an amenable number.

252720065 is a deficient number, since it is larger than the sum of its proper divisors (87023095).

252720065 is a wasteful number, since it uses less digits than its factorization.

252720065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 252720065 is about 15897.1716037791. The cubic root of 252720065 is about 632.2370000219.

The spelling of 252720065 in words is "two hundred fifty-two million, seven hundred twenty thousand, sixty-five".