513646641 has 6 divisors (see below), whose sum is σ = 741934050. Its totient is φ = 342431088.

The previous prime is 513646633. The next prime is 513646643. The reversal of 513646641 is 146646315.

It is a happy number.

513646641 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 4 + 6 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 509630625 + 4016016 = 22575^2 + 2004^2 .

It is not a de Polignac number, because 513646641 - 2³ = 513646633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513646596 and 513646605.

It is not an unprimeable number, because it can be changed into a prime (513646643) 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, 28535916 + ... + 28535933.

It is an arithmetic number, because the mean of its divisors is an integer number (123655675).

Almost surely, 2^513646641 is an apocalyptic number.

It is an amenable number.

513646641 is a deficient number, since it is larger than the sum of its proper divisors (228287409).

513646641 is a wasteful number, since it uses less digits than its factorization.

513646641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57071855 (or 57071852 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 513646641 is about 22663.7737590190. The cubic root of 513646641 is about 800.8567077581.

The spelling of 513646641 in words is "five hundred thirteen million, six hundred forty-six thousand, six hundred forty-one".