513793098 has 128 divisors (see below), whose sum is σ = 1479475200. Its totient is φ = 128350656.

The previous prime is 513793073. The next prime is 513793103. The reversal of 513793098 is 890397315.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90615 + ... + 96117.

It is an arithmetic number, because the mean of its divisors is an integer number (11558400).

Almost surely, 2^513793098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513793098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739737600).

513793098 is an abundant number, since it is smaller than the sum of its proper divisors (965682102).

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

513793098 is a wasteful number, since it uses less digits than its factorization.

513793098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 513793098 is about 22667.0046102259. The cubic root of 513793098 is about 800.9328171009.

The spelling of 513793098 in words is "five hundred thirteen million, seven hundred ninety-three thousand, ninety-eight".