513300145451544 has 768 divisors, whose sum is σ = 1692832360826880. Its totient is φ = 138593741045760.

The previous prime is 513300145451539. The next prime is 513300145451651. The reversal of 513300145451544 is 445154541003315.

513300145451544 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 0 + 0 + 1 + 4 + 54 + 51 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513300145451544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25439854384 + ... + 25439874560.

It is an arithmetic number, because the mean of its divisors is an integer number (2204208803160).

Almost surely, 2^{513300145451544} 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 513300145451544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846416180413440).

513300145451544 is an abundant number, since it is smaller than the sum of its proper divisors (1179532215375336).

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

513300145451544 is a wasteful number, since it uses less digits than its factorization.

513300145451544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21080 (or 21073 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 513300145451544 its reverse (445154541003315), we get a palindrome (958454686454859).

The spelling of 513300145451544 in words is "five hundred thirteen trillion, three hundred billion, one hundred forty-five million, four hundred fifty-one thousand, five hundred forty-four".