513423414405041 has 32 divisors (see below), whose sum is σ = 599960245248000. Its totient is φ = 439183718791440.

The previous prime is 513423414405023. The next prime is 513423414405197. The reversal of 513423414405041 is 140504414324315.

It is a de Polignac number, because none of the positive numbers 2^k-513423414405041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513423414405041.

It is not an unprimeable number, because it can be changed into a prime (513423414405241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5436514100 + ... + 5436608538.

It is an arithmetic number, because the mean of its divisors is an integer number (18748757664000).

Almost surely, 2^{513423414405041} is an apocalyptic number.

It is an amenable number.

513423414405041 is a deficient number, since it is larger than the sum of its proper divisors (86536830842959).

513423414405041 is an equidigital number, since it uses as much as digits as its factorization.

513423414405041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126474 (or 126460 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

Adding to 513423414405041 its reverse (140504414324315), we get a palindrome (653927828729356).

The spelling of 513423414405041 in words is "five hundred thirteen trillion, four hundred twenty-three billion, four hundred fourteen million, four hundred five thousand, forty-one".