252151221413 has 32 divisors (see below), whose sum is σ = 328653916416. Its totient is φ = 187735200768.

The previous prime is 252151221407. The next prime is 252151221419. The reversal of 252151221413 is 314122151252.

252151221413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252151221407) and next prime (252151221419).

It is not a de Polignac number, because 252151221413 - 2³⁴ = 234971352229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252151221419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11704670 + ... + 11726192.

It is an arithmetic number, because the mean of its divisors is an integer number (10270434888).

Almost surely, 2^252151221413 is an apocalyptic number.

It is an amenable number.

252151221413 is a deficient number, since it is larger than the sum of its proper divisors (76502695003).

252151221413 is a wasteful number, since it uses less digits than its factorization.

252151221413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29133.

The product of its digits is 4800, while the sum is 29.

Adding to 252151221413 its reverse (314122151252), we get a palindrome (566273372665).

The spelling of 252151221413 in words is "two hundred fifty-two billion, one hundred fifty-one million, two hundred twenty-one thousand, four hundred thirteen".