515495280400 has 45 divisors (see below), whose sum is σ = 1238511911061. Its totient is φ = 206192368320.

The previous prime is 515495280373. The next prime is 515495280493. The reversal of 515495280400 is 4082594515.

The square root of 515495280400 is 717980.

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

It can be written as a sum of positive squares in only one way, i.e., 185578300944 + 329916979456 = 430788^2 + 574384^2 .

It is a super-2 number, since 2×515495280400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 14341651 + ... + 14377549.

Almost surely, 2^515495280400 is an apocalyptic number.

515495280400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

515495280400 is the 717980-th square number.

It is an amenable number.

515495280400 is an abundant number, since it is smaller than the sum of its proper divisors (723016630661).

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

515495280400 is an frugal number, since it uses more digits than its factorization.

515495280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71816 (or 35906 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 515495280400 in words is "five hundred fifteen billion, four hundred ninety-five million, two hundred eighty thousand, four hundred".