825072623 has 2 divisors, whose sum is σ = 825072624. Its totient is φ = 825072622.

The previous prime is 825072617. The next prime is 825072637. The reversal of 825072623 is 326270528.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 825072623 - 2²² = 820878319 is a prime.

It is equal to p_42368390 and since 825072623 and 42368390 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825072653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412536311 + 412536312.

It is an arithmetic number, because the mean of its divisors is an integer number (412536312).

Almost surely, 2^825072623 is an apocalyptic number.

825072623 is a deficient number, since it is larger than the sum of its proper divisors (1).

825072623 is an equidigital number, since it uses as much as digits as its factorization.

825072623 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 825072623 is about 28724.0774090309. The cubic root of 825072623 is about 937.9162469944.

It can be divided in two parts, 82 and 5072623, that added together give a palindrome (5072705).

The spelling of 825072623 in words is "eight hundred twenty-five million, seventy-two thousand, six hundred twenty-three".