513745570464 has 192 divisors, whose sum is σ = 1548562385664. Its totient is φ = 146088493056.

The previous prime is 513745570463. The next prime is 513745570477. The reversal of 513745570464 is 464075547315.

It is a super-2 number, since 2×513745570464² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513745570463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145411642 + ... + 145415174.

It is an arithmetic number, because the mean of its divisors is an integer number (8065429092).

Almost surely, 2^513745570464 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 513745570464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774281192832).

513745570464 is an abundant number, since it is smaller than the sum of its proper divisors (1034816815200).

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

513745570464 is a wasteful number, since it uses less digits than its factorization.

513745570464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 513745570464 in words is "five hundred thirteen billion, seven hundred forty-five million, five hundred seventy thousand, four hundred sixty-four".