513434421120 has 512 divisors, whose sum is σ = 1698931584000. Its totient is φ = 131833856000.

The previous prime is 513434421113. The next prime is 513434421131. The reversal of 513434421120 is 21124434315.

It is a super-2 number, since 2×513434421120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1225380271 + ... + 1225380689.

It is an arithmetic number, because the mean of its divisors is an integer number (3318225750).

Almost surely, 2^513434421120 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 513434421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849465792000).

513434421120 is an abundant number, since it is smaller than the sum of its proper divisors (1185497162880).

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

513434421120 is a wasteful number, since it uses less digits than its factorization.

513434421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 513434421120 its reverse (21124434315), we get a palindrome (534558855435).

The spelling of 513434421120 in words is "five hundred thirteen billion, four hundred thirty-four million, four hundred twenty-one thousand, one hundred twenty".