513497501568 has 160 divisors (see below), whose sum is σ = 1528862534760. Its totient is φ = 171087178752.

The previous prime is 513497501563. The next prime is 513497501591. The reversal of 513497501568 is 865105794315.

513497501568 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 9 + 75 + 0 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513497501563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25256655 + ... + 25276977.

Almost surely, 2^513497501568 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 513497501568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764431267380).

513497501568 is an abundant number, since it is smaller than the sum of its proper divisors (1015365033192).

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

513497501568 is a wasteful number, since it uses less digits than its factorization.

513497501568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22786 (or 22765 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 513497501568 in words is "five hundred thirteen billion, four hundred ninety-seven million, five hundred one thousand, five hundred sixty-eight".