511302420100 has 72 divisors (see below), whose sum is σ = 1112530668480. Its totient is φ = 203967745920.

The previous prime is 511302420059. The next prime is 511302420149. The reversal of 511302420100 is 1024203115.

It is a super-2 number, since 2×511302420100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 112446027 + ... + 112450573.

It is an arithmetic number, because the mean of its divisors is an integer number (15451814840).

Almost surely, 2^511302420100 is an apocalyptic number.

511302420100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

511302420100 is an abundant number, since it is smaller than the sum of its proper divisors (601228248380).

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

511302420100 is a wasteful number, since it uses less digits than its factorization.

511302420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 511302420100 its reverse (1024203115), we get a palindrome (512326623215).

The spelling of 511302420100 in words is "five hundred eleven billion, three hundred two million, four hundred twenty thousand, one hundred".