513789721380 has 240 divisors, whose sum is σ = 1791754804224. Its totient is φ = 122391440640.

The previous prime is 513789721373. The next prime is 513789721387. The reversal of 513789721380 is 83127987315.

It is a happy number.

513789721380 is a `hidden beast` number, since 51 + 378 + 9 + 7 + 213 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (513789721373) and next prime (513789721387).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (513789721387) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259369 + ... + 1046351.

Almost surely, 2^513789721380 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 513789721380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895877402112).

513789721380 is an abundant number, since it is smaller than the sum of its proper divisors (1277965082844).

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

513789721380 is a wasteful number, since it uses less digits than its factorization.

513789721380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787048 (or 787037 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 513789721380 in words is "five hundred thirteen billion, seven hundred eighty-nine million, seven hundred twenty-one thousand, three hundred eighty".