511010010100 has 18 divisors (see below), whose sum is σ = 1108891722134. Its totient is φ = 204404004000.

The previous prime is 511010010023. The next prime is 511010010149. The reversal of 511010010100 is 1010010115.

It can be written as a sum of positive squares in 3 ways, for example, as 92468295396 + 418541714704 = 304086^2 + 646948^2 .

It is a super-2 number, since 2×511010010100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2555049951 + ... + 2555050150.

Almost surely, 2^511010010100 is an apocalyptic number.

511010010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

511010010100 is an abundant number, since it is smaller than the sum of its proper divisors (597881712034).

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

511010010100 is a wasteful number, since it uses less digits than its factorization.

511010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110100115 (or 5110100108 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 511010010100 its reverse (1010010115), we get a palindrome (512020020215).

The spelling of 511010010100 in words is "five hundred eleven billion, ten million, ten thousand, one hundred".