513491195889 has 27 divisors (see below), whose sum is σ = 862830220473. Its totient is φ = 293414941512.

The previous prime is 513491195879. The next prime is 513491195909. The reversal of 513491195889 is 988591194315.

The square root of 513491195889 is 716583.

It is a perfect power (a square), and thus also a powerful number.

513491195889 is a `hidden beast` number, since 5 + 1 + 3 + 49 + 1 + 1 + 9 + 588 + 9 = 666.

It is not a de Polignac number, because 513491195889 - 2¹⁵ = 513491163121 is a prime.

It is a super-4 number, since 4×513491195889⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (513491195879) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15031182 + ... + 15065304.

Almost surely, 2^513491195889 is an apocalyptic number.

513491195889 is the 716583-rd square number.

513491195889 is the 358292-nd centered octagonal number.

It is an amenable number.

513491195889 is a deficient number, since it is larger than the sum of its proper divisors (349339024584).

513491195889 is an frugal number, since it uses more digits than its factorization.

513491195889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68266 (or 34133 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 63.

The spelling of 513491195889 in words is "five hundred thirteen billion, four hundred ninety-one million, one hundred ninety-five thousand, eight hundred eighty-nine".