252766521 has 16 divisors (see below), whose sum is σ = 427964800. Its totient is φ = 144437904.

The previous prime is 252766477. The next prime is 252766559. The reversal of 252766521 is 125667252.

252766521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252766521 - 2¹⁰ = 252765497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252766121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668506 + ... + 668883.

It is an arithmetic number, because the mean of its divisors is an integer number (26747800).

Almost surely, 2^252766521 is an apocalyptic number.

252766521 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252766521 is a deficient number, since it is larger than the sum of its proper divisors (175198279).

252766521 is a wasteful number, since it uses less digits than its factorization.

252766521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337405 (or 1337399 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 252766521 is about 15898.6326770575. The cubic root of 252766521 is about 632.2757377488.

The spelling of 252766521 in words is "two hundred fifty-two million, seven hundred sixty-six thousand, five hundred twenty-one".