251405406055141 has 64 divisors (see below), whose sum is σ = 280645622924800. Its totient is φ = 225038055610368.

The previous prime is 251405406055123. The next prime is 251405406055207. The reversal of 251405406055141 is 141550604504152.

It is not a de Polignac number, because 251405406055141 - 2⁴¹ = 249206382799589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251405406355141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34005867541 + ... + 34005874933.

It is an arithmetic number, because the mean of its divisors is an integer number (4385087858200).

Almost surely, 2^{251405406055141} is an apocalyptic number.

It is an amenable number.

251405406055141 is a deficient number, since it is larger than the sum of its proper divisors (29240216869659).

251405406055141 is an equidigital number, since it uses as much as digits as its factorization.

251405406055141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 43.

The spelling of 251405406055141 in words is "two hundred fifty-one trillion, four hundred five billion, four hundred six million, fifty-five thousand, one hundred forty-one".