511013000000 has 98 divisors (see below), whose sum is σ = 1267538033118. Its totient is φ = 204404800000.

The previous prime is 511012999921. The next prime is 511013000011. The reversal of 511013000000 is 310115.

It can be written as a sum of positive squares in 7 ways, for example, as 474191995456 + 36821004544 = 688616^2 + 191888^2 .

It is a super-2 number, since 2×511013000000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 744494 + ... + 1255506.

Almost surely, 2^511013000000 is an apocalyptic number.

511013000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633769016559).

511013000000 is an abundant number, since it is smaller than the sum of its proper divisors (756525033118).

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

511013000000 is an frugal number, since it uses more digits than its factorization.

511013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511055 (or 511020 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 511013000000 its reverse (310115), we get a palindrome (511013310115).

The spelling of 511013000000 in words is "five hundred eleven billion, thirteen million", and thus it is an aban number.