825303505 has 32 divisors (see below), whose sum is σ = 1148515200. Its totient is φ = 563837952.

The previous prime is 825303491. The next prime is 825303509. The reversal of 825303505 is 505303528.

It is a cyclic number.

It is not a de Polignac number, because 825303505 - 2⁷ = 825303377 is a prime.

It is a super-2 number, since 2×825303505² = 1362251750730570050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825303509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58866 + ... + 71524.

It is an arithmetic number, because the mean of its divisors is an integer number (35891100).

Almost surely, 2^825303505 is an apocalyptic number.

825303505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

825303505 is a deficient number, since it is larger than the sum of its proper divisors (323211695).

825303505 is a wasteful number, since it uses less digits than its factorization.

825303505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12753.

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 825303505 is about 28728.0960907610. The cubic root of 825303505 is about 938.0037252668.

The spelling of 825303505 in words is "eight hundred twenty-five million, three hundred three thousand, five hundred five".