252820929028252 has 48 divisors (see below), whose sum is σ = 476854464733920. Its totient is φ = 116592516145152.

The previous prime is 252820929028249. The next prime is 252820929028273.

It is a happy number.

252820929028252 is nontrivially palindromic in base 10.

252820929028252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337867708 + ... + 338615164.

It is an arithmetic number, because the mean of its divisors is an integer number (9934468015290).

Almost surely, 2^{252820929028252} is an apocalyptic number.

It is an amenable number.

252820929028252 is a deficient number, since it is larger than the sum of its proper divisors (224033535705668).

252820929028252 is a wasteful number, since it uses less digits than its factorization.

252820929028252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752710 (or 752708 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 252820929028252 in words is "two hundred fifty-two trillion, eight hundred twenty billion, nine hundred twenty-nine million, twenty-eight thousand, two hundred fifty-two".