513528641 has 2 divisors, whose sum is σ = 513528642. Its totient is φ = 513528640.

The previous prime is 513528593. The next prime is 513528667. The reversal of 513528641 is 146825315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392198416 + 121330225 = 19804^2 + 11015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513528641 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513528341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256764320 + 256764321.

It is an arithmetic number, because the mean of its divisors is an integer number (256764321).

Almost surely, 2^513528641 is an apocalyptic number.

It is an amenable number.

513528641 is a deficient number, since it is larger than the sum of its proper divisors (1).

513528641 is an equidigital number, since it uses as much as digits as its factorization.

513528641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28800, while the sum is 35.

The square root of 513528641 is about 22661.1703360616. The cubic root of 513528641 is about 800.7953761464.

The spelling of 513528641 in words is "five hundred thirteen million, five hundred twenty-eight thousand, six hundred forty-one".