513525616501 has 2 divisors, whose sum is σ = 513525616502. Its totient is φ = 513525616500.

The previous prime is 513525616493. The next prime is 513525616577. The reversal of 513525616501 is 105616525315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328272848401 + 185252768100 = 572951^2 + 430410^2 .

It is a cyclic number.

It is not a de Polignac number, because 513525616501 - 2³ = 513525616493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513525616301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256762808250 + 256762808251.

It is an arithmetic number, because the mean of its divisors is an integer number (256762808251).

Almost surely, 2^513525616501 is an apocalyptic number.

It is an amenable number.

513525616501 is a deficient number, since it is larger than the sum of its proper divisors (1).

513525616501 is an equidigital number, since it uses as much as digits as its factorization.

513525616501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 513525616501 in words is "five hundred thirteen billion, five hundred twenty-five million, six hundred sixteen thousand, five hundred one".