252153202401 has 24 divisors (see below), whose sum is σ = 395758288640. Its totient is φ = 154117404000.

The previous prime is 252153202381. The next prime is 252153202403. The reversal of 252153202401 is 104202351252.

252153202401 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 53 + 202 + 401 = 666.

It is not a de Polignac number, because 252153202401 - 2¹¹ = 252153200353 is a prime.

It is a super-3 number, since 3×252153202401³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252153202403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23778250 + ... + 23788851.

Almost surely, 2^252153202401 is an apocalyptic number.

It is an amenable number.

252153202401 is a deficient number, since it is larger than the sum of its proper divisors (143605086239).

252153202401 is a wasteful number, since it uses less digits than its factorization.

252153202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47567157 (or 47567154 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 252153202401 its reverse (104202351252), we get a palindrome (356355553653).

The spelling of 252153202401 in words is "two hundred fifty-two billion, one hundred fifty-three million, two hundred two thousand, four hundred one".