85303825304049 has 135 divisors (see below), whose sum is σ = 145108318275921. Its totient is φ = 49901037500160.

The previous prime is 85303825304039. The next prime is 85303825304059. The reversal of 85303825304049 is 94040352830358.

The square root of 85303825304049 is 9236007.

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

85303825304049 is a `hidden beast` number, since 8 + 5 + 30 + 38 + 2 + 530 + 4 + 0 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (85303825304039) and next prime (85303825304059).

It can be written as a sum of positive squares in 4 ways, for example, as 18970423805025 + 66333401499024 = 4355505^2 + 8144532^2 .

It is not a de Polignac number, because 85303825304049 - 2⁵ = 85303825304017 is a prime.

It is a super-2 number, since 2×85303825304049² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85303825303986 and 85303825304004.

It is not an unprimeable number, because it can be changed into a prime (85303825304029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26516574489 + ... + 26516577705.

Almost surely, 2^{85303825304049} is an apocalyptic number.

85303825304049 is the 9236007-th square number.

85303825304049 is the 4618004-th centered octagonal number.

It is an amenable number.

85303825304049 is a deficient number, since it is larger than the sum of its proper divisors (59804492971872).

85303825304049 is an frugal number, since it uses more digits than its factorization.

85303825304049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 85303825304049 in words is "eighty-five trillion, three hundred three billion, eight hundred twenty-five million, three hundred four thousand, forty-nine".