511364465064 has 80 divisors (see below), whose sum is σ = 1481683490100. Its totient is φ = 164577063168.

The previous prime is 511364465063. The next prime is 511364465069. The reversal of 511364465064 is 460564463115.

511364465064 is a `hidden beast` number, since 5 + 1 + 136 + 4 + 4 + 6 + 506 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 489498928164 + 21865536900 = 699642^2 + 147870^2 .

It is a super-2 number, since 2×511364465064² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (511364465063) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 13587117 + ... + 13624700.

Almost surely, 2^511364465064 is an apocalyptic number.

511364465064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

511364465064 is an abundant number, since it is smaller than the sum of its proper divisors (970319025036).

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

511364465064 is a wasteful number, since it uses less digits than its factorization.

511364465064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27211864 (or 27211851 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 511364465064 in words is "five hundred eleven billion, three hundred sixty-four million, four hundred sixty-five thousand, sixty-four".