511005101152 has 48 divisors (see below), whose sum is σ = 1238204675232. Its totient is φ = 202155863040.

The previous prime is 511005101119. The next prime is 511005101221. The reversal of 511005101152 is 251101500115.

It is a super-2 number, since 2×511005101152² (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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87738349 + ... + 87744172.

It is an arithmetic number, because the mean of its divisors is an integer number (25795930734).

Almost surely, 2^511005101152 is an apocalyptic number.

511005101152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

511005101152 is an abundant number, since it is smaller than the sum of its proper divisors (727199574080).

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

511005101152 is a wasteful number, since it uses less digits than its factorization.

511005101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175482551 (or 175482543 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 22.

Adding to 511005101152 its reverse (251101500115), we get a palindrome (762106601267).

The spelling of 511005101152 in words is "five hundred eleven billion, five million, one hundred one thousand, one hundred fifty-two".