513971568 has 200 divisors, whose sum is σ = 1676606976. Its totient is φ = 150595200.

The previous prime is 513971567. The next prime is 513971569. The reversal of 513971568 is 865179315.

It is a happy number.

513971568 is a `hidden beast` number, since 5 + 13 + 9 + 71 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (513971567) and next prime (513971569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513971567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441355 + ... + 442517.

Almost surely, 2^513971568 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 513971568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838303488).

513971568 is an abundant number, since it is smaller than the sum of its proper divisors (1162635408).

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

513971568 is a wasteful number, since it uses less digits than its factorization.

513971568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1210 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 513971568 is about 22670.9410479583. The cubic root of 513971568 is about 801.0255430983.

The spelling of 513971568 in words is "five hundred thirteen million, nine hundred seventy-one thousand, five hundred sixty-eight".