252264141 has 24 divisors (see below), whose sum is σ = 370843200. Its totient is φ = 165217536.

The previous prime is 252264119. The next prime is 252264151. The reversal of 252264141 is 141462252.

252264141 is a `hidden beast` number, since 25 + 226 + 414 + 1 = 666.

It is not a de Polignac number, because 252264141 - 2⁵ = 252264109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252264151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147805 + ... + 149501.

It is an arithmetic number, because the mean of its divisors is an integer number (15451800).

Almost surely, 2^252264141 is an apocalyptic number.

It is an amenable number.

252264141 is a deficient number, since it is larger than the sum of its proper divisors (118579059).

252264141 is a wasteful number, since it uses less digits than its factorization.

252264141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1982 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 252264141 is about 15882.8253468959. The cubic root of 252264141 is about 631.8565717960.

It can be divided in two parts, 252264 and 141, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 252264141 in words is "two hundred fifty-two million, two hundred sixty-four thousand, one hundred forty-one".