252113222132251 has 16 divisors (see below), whose sum is σ = 268797407155200. Its totient is φ = 235771799372928.

The previous prime is 252113222132237. The next prime is 252113222132311. The reversal of 252113222132251 is 152231222311252.

It is a happy number.

252113222132251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 252113222132251 - 2¹⁹ = 252113221607963 is a prime.

It is a super-2 number, since 2×252113222132251² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252113222132851) 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, 10204135 + ... + 24664768.

It is an arithmetic number, because the mean of its divisors is an integer number (16799837947200).

Almost surely, 2^{252113222132251} is an apocalyptic number.

252113222132251 is a deficient number, since it is larger than the sum of its proper divisors (16684185022949).

252113222132251 is a wasteful number, since it uses less digits than its factorization.

252113222132251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34873818.

The product of its digits is 28800, while the sum is 34.

The spelling of 252113222132251 in words is "two hundred fifty-two trillion, one hundred thirteen billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred fifty-one".