513523560457 has 8 divisors (see below), whose sum is σ = 516270169800. Its totient is φ = 510778364544.

The previous prime is 513523560323. The next prime is 513523560461. The reversal of 513523560457 is 754065325315.

It can be written as a sum of positive squares in 4 ways, for example, as 197566026256 + 315957534201 = 444484^2 + 562101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513523560457 - 2¹¹ = 513523558409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513523560757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379269 + ... + 1082077.

It is an arithmetic number, because the mean of its divisors is an integer number (64533771225).

Almost surely, 2^513523560457 is an apocalyptic number.

It is an amenable number.

513523560457 is a deficient number, since it is larger than the sum of its proper divisors (2746609343).

513523560457 is a wasteful number, since it uses less digits than its factorization.

513523560457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706715.

The product of its (nonzero) digits is 1890000, while the sum is 46.

The spelling of 513523560457 in words is "five hundred thirteen billion, five hundred twenty-three million, five hundred sixty thousand, four hundred fifty-seven".