513007078100 has 72 divisors (see below), whose sum is σ = 1234336476576. Its totient is φ = 183489840000.

The previous prime is 513007078081. The next prime is 513007078123. The reversal of 513007078100 is 1870700315.

It is a super-2 number, since 2×513007078100² (a number of 24 digits) 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 23 ways as a sum of consecutive naturals, for example, 3755606 + ... + 3889805.

Almost surely, 2^513007078100 is an apocalyptic number.

513007078100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513007078100 is an abundant number, since it is smaller than the sum of its proper divisors (721329398476).

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

513007078100 is a wasteful number, since it uses less digits than its factorization.

513007078100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645497 (or 7645490 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

Adding to 513007078100 its reverse (1870700315), we get a palindrome (514877778415).

The spelling of 513007078100 in words is "five hundred thirteen billion, seven million, seventy-eight thousand, one hundred".