513422386620 has 576 divisors, whose sum is σ = 1827586188288. Its totient is φ = 106586726400.

The previous prime is 513422386619. The next prime is 513422386639. The reversal of 513422386620 is 26683224315.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113914407 + ... + 113918913.

It is an arithmetic number, because the mean of its divisors is an integer number (3172892688).

Almost surely, 2^513422386620 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 513422386620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913793094144).

513422386620 is an abundant number, since it is smaller than the sum of its proper divisors (1314163801668).

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

513422386620 is a wasteful number, since it uses less digits than its factorization.

513422386620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 513422386620 in words is "five hundred thirteen billion, four hundred twenty-two million, three hundred eighty-six thousand, six hundred twenty".