513741801672 has 128 divisors (see below), whose sum is σ = 1558187712000. Its totient is φ = 155539897920.

The previous prime is 513741801653. The next prime is 513741801697. The reversal of 513741801672 is 276108147315.

513741801672 is a `hidden beast` number, since 513 + 7 + 41 + 80 + 16 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2571979 + ... + 2764517.

It is an arithmetic number, because the mean of its divisors is an integer number (12173341500).

Almost surely, 2^513741801672 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 513741801672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779093856000).

513741801672 is an abundant number, since it is smaller than the sum of its proper divisors (1044445910328).

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

513741801672 is a wasteful number, since it uses less digits than its factorization.

513741801672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193688 (or 193678 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

Adding to 513741801672 its reverse (276108147315), we get a palindrome (789849948987).

The spelling of 513741801672 in words is "five hundred thirteen billion, seven hundred forty-one million, eight hundred one thousand, six hundred seventy-two".