515394768100 has 243 divisors, whose sum is σ = 1229686744881. Its totient is φ = 187460659200.

The previous prime is 515394768079. The next prime is 515394768103. The reversal of 515394768100 is 1867493515.

The square root of 515394768100 is 717910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 446301491364 + 69093276736 = 668058^2 + 262856^2 .

It is a super-2 number, since 2×515394768100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (515394768103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5003832649 + ... + 5003832751.

Almost surely, 2^515394768100 is an apocalyptic number.

515394768100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

515394768100 is the 717910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515394768100

515394768100 is an abundant number, since it is smaller than the sum of its proper divisors (714291976781).

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

515394768100 is a wasteful number, since it uses less digits than its factorization.

515394768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 515394768100 by its sum of digits (49), we get a square (25254343636900 = 5025370²).

The spelling of 515394768100 in words is "five hundred fifteen billion, three hundred ninety-four million, seven hundred sixty-eight thousand, one hundred".