511012314340 has 96 divisors (see below), whose sum is σ = 1209572663040. Its totient is φ = 179748441600.

The previous prime is 511012314251. The next prime is 511012314349. The reversal of 511012314340 is 43413210115.

It is a super-2 number, since 2×511012314340² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511012314349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519226 + ... + 1136494.

It is an arithmetic number, because the mean of its divisors is an integer number (12599715240).

Almost surely, 2^511012314340 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 511012314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604786331520).

511012314340 is an abundant number, since it is smaller than the sum of its proper divisors (698560348700).

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

511012314340 is a wasteful number, since it uses less digits than its factorization.

511012314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617413 (or 617411 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 511012314340 its reverse (43413210115), we get a palindrome (554425524455).

The spelling of 511012314340 in words is "five hundred eleven billion, twelve million, three hundred fourteen thousand, three hundred forty".