513524161098 has 320 divisors, whose sum is σ = 1328977964160. Its totient is φ = 146813534208.

The previous prime is 513524161091. The next prime is 513524161193. The reversal of 513524161098 is 890161425315.

It is a happy number.

513524161098 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 24 + 1 + 610 + 9 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (513524161091) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1454742490 + ... + 1454742842.

It is an arithmetic number, because the mean of its divisors is an integer number (4153056138).

Almost surely, 2^513524161098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513524161098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664488982080).

513524161098 is an abundant number, since it is smaller than the sum of its proper divisors (815453803062).

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

513524161098 is a wasteful number, since it uses less digits than its factorization.

513524161098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 513524161098 in words is "five hundred thirteen billion, five hundred twenty-four million, one hundred sixty-one thousand, ninety-eight".