513190445664 has 240 divisors, whose sum is σ = 1536346889280. Its totient is φ = 149578790400.

The previous prime is 513190445657. The next prime is 513190445693. The reversal of 513190445664 is 466544091315.

It is a happy number.

It is a super-3 number, since 3×513190445664³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52090339 + ... + 52100189.

It is an arithmetic number, because the mean of its divisors is an integer number (6401445372).

Almost surely, 2^513190445664 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 513190445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768173444640).

513190445664 is an abundant number, since it is smaller than the sum of its proper divisors (1023156443616).

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

513190445664 is an equidigital number, since it uses as much as digits as its factorization.

513190445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9935 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 513190445664 in words is "five hundred thirteen billion, one hundred ninety million, four hundred forty-five thousand, six hundred sixty-four".