513257377426560 has 1024 divisors, whose sum is σ = 2048032043366400. Its totient is φ = 120636177776640.

The previous prime is 513257377426511. The next prime is 513257377426567. The reversal of 513257377426560 is 65624773752315.

513257377426560 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 573 + 7 + 7 + 4 + 2 + 6 + 56 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (513257377426567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 432288442 + ... + 433474118.

It is an arithmetic number, because the mean of its divisors is an integer number (2000031292350).

Almost surely, 2^{513257377426560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513257377426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024016021683200).

513257377426560 is an abundant number, since it is smaller than the sum of its proper divisors (1534774665939840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513257377426560 is a wasteful number, since it uses less digits than its factorization.

513257377426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185806 (or 1185788 counting only the distinct ones).

The product of its (nonzero) digits is 222264000, while the sum is 63.

The spelling of 513257377426560 in words is "five hundred thirteen trillion, two hundred fifty-seven billion, three hundred seventy-seven million, four hundred twenty-six thousand, five hundred sixty".