513205101 has 12 divisors (see below), whose sum is σ = 744480828. Its totient is φ = 340666944.

The previous prime is 513205081. The next prime is 513205109. The reversal of 513205101 is 101502315.

It can be written as a sum of positive squares in 2 ways, for example, as 178863876 + 334341225 = 13374^2 + 18285^2 .

It is not a de Polignac number, because 513205101 - 2⁷ = 513204973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513205109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120270 + ... + 124463.

It is an arithmetic number, because the mean of its divisors is an integer number (62040069).

Almost surely, 2^513205101 is an apocalyptic number.

It is an amenable number.

513205101 is a deficient number, since it is larger than the sum of its proper divisors (231275727).

513205101 is a wasteful number, since it uses less digits than its factorization.

513205101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244972 (or 244969 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 513205101 is about 22654.0305685324. The cubic root of 513205101 is about 800.6271649725.

Adding to 513205101 its reverse (101502315), we get a palindrome (614707416).

The spelling of 513205101 in words is "five hundred thirteen million, two hundred five thousand, one hundred one".