513266099081472 has 576 divisors, whose sum is σ = 1710532580843520. Its totient is φ = 150401852006400.

The previous prime is 513266099081431. The next prime is 513266099081479. The reversal of 513266099081472 is 274180990662315.

513266099081472 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 6 + 609 + 9 + 0 + 8 + 14 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×513266099081472² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513266099081479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3080505238 + ... + 3080671850.

It is an arithmetic number, because the mean of its divisors is an integer number (2969674619520).

It is a 1-persistent number, because it is pandigital, but 2⋅513266099081472 = 1026532198162944 is not.

Almost surely, 2^{513266099081472} 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 513266099081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855266290421760).

513266099081472 is an abundant number, since it is smaller than the sum of its proper divisors (1197266481762048).

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

513266099081472 is a wasteful number, since it uses less digits than its factorization.

513266099081472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167987 (or 167967 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 513266099081472 in words is "five hundred thirteen trillion, two hundred sixty-six billion, ninety-nine million, eighty-one thousand, four hundred seventy-two".