513380202561 has 12 divisors (see below), whose sum is σ = 752617080592. Its totient is φ = 337145207256.

The previous prime is 513380202547. The next prime is 513380202563. The reversal of 513380202561 is 165202083315.

513380202561 is a `hidden beast` number, since 5 + 1 + 3 + 380 + 20 + 256 + 1 = 666.

It is not a de Polignac number, because 513380202561 - 2¹⁷ = 513380071489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513380202563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425687791 + ... + 425688996.

Almost surely, 2^513380202561 is an apocalyptic number.

It is an amenable number.

513380202561 is a deficient number, since it is larger than the sum of its proper divisors (239236878031).

513380202561 is a wasteful number, since it uses less digits than its factorization.

513380202561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851376860 (or 851376857 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 513380202561 its reverse (165202083315), we get a palindrome (678582285876).

The spelling of 513380202561 in words is "five hundred thirteen billion, three hundred eighty million, two hundred two thousand, five hundred sixty-one".