511362640100 has 432 divisors, whose sum is σ = 1317722754096. Its totient is φ = 171085824000.

The previous prime is 511362640099. The next prime is 511362640109. The reversal of 511362640100 is 1046263115.

It is a happy number.

It can be written as a sum of positive squares in 72 ways, for example, as 354196380736 + 157166259364 = 595144^2 + 396442^2 .

It is a super-2 number, since 2×511362640100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511362640109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1214637890 + ... + 1214638310.

It is an arithmetic number, because the mean of its divisors is an integer number (3050284153).

Almost surely, 2^511362640100 is an apocalyptic number.

511362640100 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 511362640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658861377048).

511362640100 is an abundant number, since it is smaller than the sum of its proper divisors (806360113996).

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

511362640100 is a wasteful number, since it uses less digits than its factorization.

511362640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 511362640100 in words is "five hundred eleven billion, three hundred sixty-two million, six hundred forty thousand, one hundred".