511410521140 has 48 divisors (see below), whose sum is σ = 1080557342928. Its totient is φ = 203308821504.

The previous prime is 511410521129. The next prime is 511410521147. The reversal of 511410521140 is 41125014115.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 187943058576 + 323467462564 = 433524^2 + 568742^2 .

It is a super-2 number, since 2×511410521140² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511410521147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10192354 + ... + 10242406.

It is an arithmetic number, because the mean of its divisors is an integer number (22511611311).

Almost surely, 2^511410521140 is an apocalyptic number.

It is an amenable number.

511410521140 is an abundant number, since it is smaller than the sum of its proper divisors (569146821788).

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

511410521140 is a wasteful number, since it uses less digits than its factorization.

511410521140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53188 (or 53186 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 511410521140 its reverse (41125014115), we get a palindrome (552535535255).

The spelling of 511410521140 in words is "five hundred eleven billion, four hundred ten million, five hundred twenty-one thousand, one hundred forty".