65252148025 has 27 divisors (see below), whose sum is σ = 82746962319. Its totient is φ = 51044041680.

The previous prime is 65252148011. The next prime is 65252148043. The reversal of 65252148025 is 52084125256.

The square root of 65252148025 is 255445.

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

65252148025 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., 23490773289 + 41761374736 = 153267^2 + 204356^2 .

It is not a de Polignac number, because 65252148025 - 2¹¹ = 65252145977 is a prime.

It is a super-2 number, since 2×65252148025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60029032 + ... + 60030118.

Almost surely, 2^65252148025 is an apocalyptic number.

65252148025 is the 255445-th square number.

65252148025 is the 127723-rd centered octagonal number.

It is an amenable number.

65252148025 is a deficient number, since it is larger than the sum of its proper divisors (17494814294).

65252148025 is an frugal number, since it uses more digits than its factorization.

65252148025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 65252148025 in words is "sixty-five billion, two hundred fifty-two million, one hundred forty-eight thousand, twenty-five".