515821294849 has 81 divisors (see below), whose sum is σ = 640953375363. Its totient is φ = 413894075616.

The previous prime is 515821294801. The next prime is 515821294897. The reversal of 515821294849 is 948492128515.

The square root of 515821294849 is 718207.

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

It is an interprime number because it is at equal distance from previous prime (515821294801) and next prime (515821294897).

It can be written as a sum of positive squares in only one way, i.e., 461563978225 + 54257316624 = 679385^2 + 232932^2 .

It is not a de Polignac number, because 515821294849 - 2⁹ = 515821294337 is a prime.

Its product of digits (8294400) is a multiple of the sum of its prime divisors (150).

It is a junction number, because it is equal to n+sod(n) for n = 515821294793 and 515821294802.

It is not an unprimeable number, because it can be changed into a prime (515821294049) 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, 8742733782 + ... + 8742733840.

Almost surely, 2^515821294849 is an apocalyptic number.

515821294849 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

515821294849 is the 718207-th square number.

515821294849 is the 359104-th centered octagonal number.

It is an amenable number.

515821294849 is a deficient number, since it is larger than the sum of its proper divisors (125132080514).

515821294849 is an frugal number, since it uses more digits than its factorization.

515821294849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 58.

It can be divided in two parts, 51582 and 1294849, that added together give a palindrome (1346431).

The spelling of 515821294849 in words is "five hundred fifteen billion, eight hundred twenty-one million, two hundred ninety-four thousand, eight hundred forty-nine".