513563242500 has 2160 divisors, whose sum is σ = 2268067785984. Its totient is φ = 96445440000.

The previous prime is 513563242459. The next prime is 513563242501. The reversal of 513563242500 is 5242365315.

513563242500 is a `hidden beast` number, since 5 + 1 + 3 + 563 + 2 + 42 + 50 + 0 = 666.

It is a super-2 number, since 2×513563242500² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513563242501) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 9689872474 + ... + 9689872526.

Almost surely, 2^513563242500 is an apocalyptic number.

513563242500 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 513563242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134033892992).

513563242500 is an abundant number, since it is smaller than the sum of its proper divisors (1754504543484).

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

513563242500 is a wasteful number, since it uses less digits than its factorization.

513563242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 513563242500 in words is "five hundred thirteen billion, five hundred sixty-three million, two hundred forty-two thousand, five hundred".