513368100 has 216 divisors, whose sum is σ = 1877657600. Its totient is φ = 117270720.

The previous prime is 513368083. The next prime is 513368113. The reversal of 513368100 is 1863315.

It is a super-2 number, since 2×513368100² = 527093612195220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307869 + ... + 309531.

Almost surely, 2^513368100 is an apocalyptic number.

513368100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938828800).

513368100 is an abundant number, since it is smaller than the sum of its proper divisors (1364289500).

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

513368100 is a wasteful number, since it uses less digits than its factorization.

513368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1680 counting only the distinct ones).

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

The square root of 513368100 is about 22657.6278546542. The cubic root of 513368100 is about 800.7119183607.

The spelling of 513368100 in words is "five hundred thirteen million, three hundred sixty-eight thousand, one hundred".