252002512131205 has 32 divisors (see below), whose sum is σ = 348455386718208. Its totient is φ = 173237763182400.

The previous prime is 252002512131203. The next prime is 252002512131233. The reversal of 252002512131205 is 502131215200252.

252002512131205 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 252002512131205 - 2¹ = 252002512131203 is a prime.

It is a super-3 number, since 3×252002512131205³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252002512131203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1718555289 + ... + 1718701918.

It is an arithmetic number, because the mean of its divisors is an integer number (10889230834944).

Almost surely, 2^{252002512131205} is an apocalyptic number.

It is an amenable number.

252002512131205 is a deficient number, since it is larger than the sum of its proper divisors (96452874587003).

252002512131205 is a wasteful number, since it uses less digits than its factorization.

252002512131205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437257297.

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 252002512131205 its reverse (502131215200252), we get a palindrome (754133727331457).

The spelling of 252002512131205 in words is "two hundred fifty-two trillion, two billion, five hundred twelve million, one hundred thirty-one thousand, two hundred five".