513102492 has 144 divisors (see below), whose sum is σ = 1590516480. Its totient is φ = 140117472.

The previous prime is 513102461. The next prime is 513102497. The reversal of 513102492 is 294201315.

513102492 is a `hidden beast` number, since 513 + 102 + 49 + 2 = 666.

It is a super-2 number, since 2×513102492² = 526548334593220128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513102497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399283 + ... + 400565.

Almost surely, 2^513102492 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 513102492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795258240).

513102492 is an abundant number, since it is smaller than the sum of its proper divisors (1077413988).

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

513102492 is a wasteful number, since it uses less digits than its factorization.

513102492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513102492 is about 22651.7657589866. The cubic root of 513102492 is about 800.5738029227.

The spelling of 513102492 in words is "five hundred thirteen million, one hundred two thousand, four hundred ninety-two".