513443141001 has 36 divisors (see below), whose sum is σ = 864240822900. Its totient is φ = 292880302848.

The previous prime is 513443140993. The next prime is 513443141011. The reversal of 513443141001 is 100141344315.

513443141001 is a `hidden beast` number, since 5 + 1 + 344 + 314 + 1 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66925172601 + 446517968400 = 258699^2 + 668220^2 .

It is not a de Polignac number, because 513443141001 - 2³ = 513443140993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513443141011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 772156 + ... + 1274013.

It is an arithmetic number, because the mean of its divisors is an integer number (24006689525).

Almost surely, 2^513443141001 is an apocalyptic number.

It is an amenable number.

513443141001 is a deficient number, since it is larger than the sum of its proper divisors (350797681899).

513443141001 is a wasteful number, since it uses less digits than its factorization.

513443141001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046758 (or 2046748 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 513443141001 its reverse (100141344315), we get a palindrome (613584485316).

The spelling of 513443141001 in words is "five hundred thirteen billion, four hundred forty-three million, one hundred forty-one thousand, one".