513525151344141 has 30 divisors (see below), whose sum is σ = 814896783196650. Its totient is φ = 322211859652224.

The previous prime is 513525151344097. The next prime is 513525151344157. The reversal of 513525151344141 is 141443151525315.

513525151344141 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 2 + 51 + 513 + 4 + 41 + 41 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 269099286828516 + 244425864515625 = 16404246^2 + 15634125^2 .

It is not a de Polignac number, because 513525151344141 - 2¹⁸ = 513525151081997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513525151349141) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10968517566 + ... + 10968564383.

It is an arithmetic number, because the mean of its divisors is an integer number (27163226106555).

Almost surely, 2^{513525151344141} is an apocalyptic number.

513525151344141 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

513525151344141 is a deficient number, since it is larger than the sum of its proper divisors (301371631852509).

513525151344141 is a wasteful number, since it uses less digits than its factorization.

513525151344141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21937081995 (or 21937081969 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The spelling of 513525151344141 in words is "five hundred thirteen trillion, five hundred twenty-five billion, one hundred fifty-one million, three hundred forty-four thousand, one hundred forty-one".