252113222132401 has 8 divisors (see below), whose sum is σ = 289794884566464. Its totient is φ = 214847931659280.

The previous prime is 252113222132311. The next prime is 252113222132411. The reversal of 252113222132401 is 104231222311252.

252113222132401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252113222132401 - 2¹⁵ = 252113222099633 is a prime.

It is a super-2 number, since 2×252113222132401² (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 (252113222132411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104092988935 + ... + 104092991356.

It is an arithmetic number, because the mean of its divisors is an integer number (36224360570808).

Almost surely, 2^{252113222132401} is an apocalyptic number.

It is an amenable number.

252113222132401 is a deficient number, since it is larger than the sum of its proper divisors (37681662434063).

252113222132401 is a wasteful number, since it uses less digits than its factorization.

252113222132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208185980471.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 252113222132401 its reverse (104231222311252), we get a palindrome (356344444443653).

The spelling of 252113222132401 in words is "two hundred fifty-two trillion, one hundred thirteen billion, two hundred twenty-two million, one hundred thirty-two thousand, four hundred one".