511306862064 has 80 divisors (see below), whose sum is σ = 1363900514304. Its totient is φ = 164887430400.

The previous prime is 511306862057. The next prime is 511306862071. The reversal of 511306862064 is 460268603115.

It is an interprime number because it is at equal distance from previous prime (511306862057) and next prime (511306862071).

It is a super-2 number, since 2×511306862064² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 4995142 + ... + 5096474.

Almost surely, 2^511306862064 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 511306862064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681950257152).

511306862064 is an abundant number, since it is smaller than the sum of its proper divisors (852593652240).

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

511306862064 is a wasteful number, since it uses less digits than its factorization.

511306862064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104766 (or 104760 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 511306862064 in words is "five hundred eleven billion, three hundred six million, eight hundred sixty-two thousand, sixty-four".