513287349120 has 1024 divisors, whose sum is σ = 2250436608000. Its totient is φ = 107667947520.

The previous prime is 513287349097. The next prime is 513287349121. The reversal of 513287349120 is 21943782315.

It is a happy number.

513287349120 is a `hidden beast` number, since 5 + 1 + 3 + 287 + 349 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513287349121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300342826 + ... + 300344534.

It is an arithmetic number, because the mean of its divisors is an integer number (2197692000).

Almost surely, 2^513287349120 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 513287349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125218304000).

513287349120 is an abundant number, since it is smaller than the sum of its proper divisors (1737149258880).

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

513287349120 is a wasteful number, since it uses less digits than its factorization.

513287349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 513287349120 in words is "five hundred thirteen billion, two hundred eighty-seven million, three hundred forty-nine thousand, one hundred twenty".