513553152141 has 6 divisors (see below), whose sum is σ = 741798997550. Its totient is φ = 342368768088.

The previous prime is 513553152127. The next prime is 513553152157. The reversal of 513553152141 is 141251355315.

513553152141 is a `hidden beast` number, since 5 + 1 + 35 + 531 + 52 + 1 + 41 = 666.

513553152141 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 366534587241 + 147018564900 = 605421^2 + 383430^2 .

It is not a de Polignac number, because 513553152141 - 2¹⁰ = 513553151117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513553152096 and 513553152105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513553152191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28530730666 + ... + 28530730683.

Almost surely, 2^513553152141 is an apocalyptic number.

It is an amenable number.

513553152141 is a deficient number, since it is larger than the sum of its proper divisors (228245845409).

513553152141 is a wasteful number, since it uses less digits than its factorization.

513553152141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57061461355 (or 57061461352 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The spelling of 513553152141 in words is "five hundred thirteen billion, five hundred fifty-three million, one hundred fifty-two thousand, one hundred forty-one".