1625142254401 has 24 divisors (see below), whose sum is σ = 1738931657472. Its totient is φ = 1515905529600.

The previous prime is 1625142254387. The next prime is 1625142254419. The reversal of 1625142254401 is 1044522415261.

It is not a de Polignac number, because 1625142254401 - 2²³ = 1625133865793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1625142254501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103261005 + ... + 103276741.

It is an arithmetic number, because the mean of its divisors is an integer number (72455485728).

Almost surely, 2^{1625142254401} is an apocalyptic number.

It is an amenable number.

1625142254401 is a deficient number, since it is larger than the sum of its proper divisors (113789403071).

1625142254401 is a wasteful number, since it uses less digits than its factorization.

1625142254401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18513 (or 18472 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 1625142254401 its reverse (1044522415261), we get a palindrome (2669664669662).

The spelling of 1625142254401 in words is "one trillion, six hundred twenty-five billion, one hundred forty-two million, two hundred fifty-four thousand, four hundred one".