513663523100 has 72 divisors (see below), whose sum is σ = 1371876756768. Its totient is φ = 162566035200.

The previous prime is 513663523057. The next prime is 513663523117. The reversal of 513663523100 is 1325366315.

It is a super-2 number, since 2×513663523100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28214171 + ... + 28232370.

It is an arithmetic number, because the mean of its divisors is an integer number (19053843844).

Almost surely, 2^513663523100 is an apocalyptic number.

513663523100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513663523100 is an abundant number, since it is smaller than the sum of its proper divisors (858213233668).

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

513663523100 is a wasteful number, since it uses less digits than its factorization.

513663523100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56446575 (or 56446568 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

Adding to 513663523100 its reverse (1325366315), we get a palindrome (514988889415).

The spelling of 513663523100 in words is "five hundred thirteen billion, six hundred sixty-three million, five hundred twenty-three thousand, one hundred".