253144410144001 has 32 divisors (see below), whose sum is σ = 268154149536000. Its totient is φ = 238307684152320.

The previous prime is 253144410143941. The next prime is 253144410144097. The reversal of 253144410144001 is 100441014441352.

253144410144001 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 253144410144001 - 2³⁹ = 252594654330113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253144410844001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13909788700 + ... + 13909806898.

It is an arithmetic number, because the mean of its divisors is an integer number (8379817173000).

Almost surely, 2^{253144410144001} is an apocalyptic number.

It is an amenable number.

253144410144001 is a deficient number, since it is larger than the sum of its proper divisors (15009739391999).

253144410144001 is a wasteful number, since it uses less digits than its factorization.

253144410144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24649.

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 253144410144001 its reverse (100441014441352), we get a palindrome (353585424585353).

The spelling of 253144410144001 in words is "two hundred fifty-three trillion, one hundred forty-four billion, four hundred ten million, one hundred forty-four thousand, one".