7485537361 has 9 divisors (see below), whose sum is σ = 7537722843. Its totient is φ = 7433712480.

The previous prime is 7485537287. The next prime is 7485537373. The reversal of 7485537361 is 1637355847.

The square root of 7485537361 is 86519.

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., 5629650961 + 1855886400 = 75031^2 + 43080^2 .

It is not a de Polignac number, because 7485537361 - 2¹³ = 7485529169 is a prime.

It is a Duffinian number.

Its product of digits (2116800) is a multiple of the sum of its prime divisors (600).

It is not an unprimeable number, because it can be changed into a prime (7485537161) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 20850900 + ... + 20851258.

Almost surely, 2^7485537361 is an apocalyptic number.

7485537361 is the 86519-th square number.

7485537361 is the 43260-th centered octagonal number.

It is an amenable number.

7485537361 is a deficient number, since it is larger than the sum of its proper divisors (52185482).

7485537361 is an frugal number, since it uses more digits than its factorization.

7485537361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

The cubic root of 7485537361 is about 1956.1748039077.

Multiplying 7485537361 by its sum of digits (49), we get a square (366791330689 = 605633²).

The spelling of 7485537361 in words is "seven billion, four hundred eighty-five million, five hundred thirty-seven thousand, three hundred sixty-one".