252145971 has 96 divisors (see below), whose sum is σ = 477474816. Its totient is φ = 125452800.

The previous prime is 252145951. The next prime is 252145973. The reversal of 252145971 is 179541252.

252145971 = 238² + 239² + ... + 916².

252145971 is a `hidden beast` number, since 2 + 52 + 14 + 597 + 1 = 666.

It is not a de Polignac number, because 252145971 - 2⁵ = 252145939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252145973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2599395 + ... + 2599491.

It is an arithmetic number, because the mean of its divisors is an integer number (4973696).

Almost surely, 2^252145971 is an apocalyptic number.

252145971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252145971 is a deficient number, since it is larger than the sum of its proper divisors (225328845).

252145971 is a wasteful number, since it uses less digits than its factorization.

252145971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 252145971 is about 15879.1048551233. The cubic root of 252145971 is about 631.7578946016.

It can be divided in two parts, 252145 and 971, that added together give a triangular number (253116 = T₇₁₁).

The spelling of 252145971 in words is "two hundred fifty-two million, one hundred forty-five thousand, nine hundred seventy-one".