415314034355025 has 243 divisors, whose sum is σ = 825945699093177. Its totient is φ = 199397152281600.

The previous prime is 415314034354997. The next prime is 415314034355039. The reversal of 415314034355025 is 520553430413514.

The square root of 415314034355025 is 20379255.

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

415314034355025 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 1 + 40 + 34 + 3 + 550 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 286996159603521 + 128317874751504 = 16940961^2 + 11327748^2 .

It is not a de Polignac number, because 415314034355025 - 2¹³ = 415314034346833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 162932142451 + ... + 162932144999.

Almost surely, 2^{415314034355025} is an apocalyptic number.

415314034355025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

415314034355025 is the 20379255-th square number.

415314034355025 is the 10189628-th centered octagonal number.

It is an amenable number.

415314034355025 is a deficient number, since it is larger than the sum of its proper divisors (410631664738152).

415314034355025 is an equidigital number, since it uses as much as digits as its factorization.

415314034355025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 415314034355025 its reverse (520553430413514), we get a palindrome (935867464768539).

The spelling of 415314034355025 in words is "four hundred fifteen trillion, three hundred fourteen billion, thirty-four million, three hundred fifty-five thousand, twenty-five".