7516781805625 has 45 divisors (see below), whose sum is σ = 9979546828251. Its totient is φ = 5658817200000.

The previous prime is 7516781805601. The next prime is 7516781805653. The reversal of 7516781805625 is 5265081876157.

It is a happy number.

The square root of 7516781805625 is 2741675.

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

7516781805625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3670852906809 + 3845928898816 = 1915947^2 + 1961104^2 .

It is not a de Polignac number, because 7516781805625 - 2¹³ = 7516781797433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1165208650 + ... + 1165215100.

Almost surely, 2^{7516781805625} is an apocalyptic number.

7516781805625 is the 2741675-th square number.

7516781805625 is the 1370838-th centered octagonal number.

It is an amenable number.

7516781805625 is a deficient number, since it is larger than the sum of its proper divisors (2462765022626).

7516781805625 is an frugal number, since it uses more digits than its factorization.

7516781805625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12956 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 61.

The spelling of 7516781805625 in words is "seven trillion, five hundred sixteen billion, seven hundred eighty-one million, eight hundred five thousand, six hundred twenty-five".