510014114013141 has 48 divisors (see below), whose sum is σ = 752889279542400. Its totient is φ = 332614993987584.

The previous prime is 510014114013113. The next prime is 510014114013191. The reversal of 510014114013141 is 141310411410015.

510014114013141 is a `hidden beast` number, since 5 + 100 + 1 + 4 + 11 + 401 + 3 + 141 = 666.

It is not a de Polignac number, because 510014114013141 - 2⁷ = 510014114013013 is a prime.

It is a super-2 number, since 2×510014114013141² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510014114013191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238163110 + ... + 240295016.

It is an arithmetic number, because the mean of its divisors is an integer number (15685193323800).

Almost surely, 2^{510014114013141} is an apocalyptic number.

It is an amenable number.

510014114013141 is a deficient number, since it is larger than the sum of its proper divisors (242875165529259).

510014114013141 is a wasteful number, since it uses less digits than its factorization.

510014114013141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135178 (or 2135175 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 510014114013141 its reverse (141310411410015), we get a palindrome (651324525423156).

The spelling of 510014114013141 in words is "five hundred ten trillion, fourteen billion, one hundred fourteen million, thirteen thousand, one hundred forty-one".