252306153441 has 12 divisors (see below), whose sum is σ = 364674815232. Its totient is φ = 168096751416.

The previous prime is 252306153413. The next prime is 252306153577. The reversal of 252306153441 is 144351603252.

252306153441 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 0 + 615 + 34 + 4 + 1 = 666.

It is not a de Polignac number, because 252306153441 - 2⁶ = 252306153377 is a prime.

It is a super-2 number, since 2×252306153441² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252306153396 and 252306153405.

It is not an unprimeable number, because it can be changed into a prime (252306153241) 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, 8931021 + ... + 8959226.

It is an arithmetic number, because the mean of its divisors is an integer number (30389567936).

Almost surely, 2^252306153441 is an apocalyptic number.

It is an amenable number.

252306153441 is a deficient number, since it is larger than the sum of its proper divisors (112368661791).

252306153441 is a wasteful number, since it uses less digits than its factorization.

252306153441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17891820 (or 17891817 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 252306153441 its reverse (144351603252), we get a palindrome (396657756693).

The spelling of 252306153441 in words is "two hundred fifty-two billion, three hundred six million, one hundred fifty-three thousand, four hundred forty-one".