252751525157252 has 36 divisors (see below), whose sum is σ = 514780026582780. Its totient is φ = 108128994716160.

The previous prime is 252751525157251. The next prime is 252751525157267.

252751525157252 is nontrivially palindromic in base 10.

252751525157252 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 2 ways, for example, as 177154343084356 + 75597182072896 = 13309934^2 + 8694664^2 .

It is not an unprimeable number, because it can be changed into a prime (252751525157251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15359223977 + ... + 15359240432.

It is an arithmetic number, because the mean of its divisors is an integer number (14299445182855).

Almost surely, 2^{252751525157252} is an apocalyptic number.

252751525157252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252751525157252 is an abundant number, since it is smaller than the sum of its proper divisors (262028501425528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252751525157252 is a wasteful number, since it uses less digits than its factorization.

252751525157252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30718464452 (or 30718464439 counting only the distinct ones).

The product of its digits is 24500000, while the sum is 56.

The spelling of 252751525157252 in words is "two hundred fifty-two trillion, seven hundred fifty-one billion, five hundred twenty-five million, one hundred fifty-seven thousand, two hundred fifty-two".