825264390951 has 256 divisors, whose sum is σ = 1667402956800. Its totient is φ = 394403230080.

The previous prime is 825264390949. The next prime is 825264390989. The reversal of 825264390951 is 159093462528.

825264390951 is a `hidden beast` number, since 82 + 526 + 4 + 39 + 0 + 9 + 5 + 1 = 666.

It is not a de Polignac number, because 825264390951 - 2¹ = 825264390949 is a prime.

It is a super-2 number, since 2×825264390951² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825264310951) 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 255 ways as a sum of consecutive naturals, for example, 1048620180 + ... + 1048620966.

It is an arithmetic number, because the mean of its divisors is an integer number (6513292800).

Almost surely, 2^825264390951 is an apocalyptic number.

825264390951 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

825264390951 is an abundant number, since it is smaller than the sum of its proper divisors (842138565849).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825264390951 is a wasteful number, since it uses less digits than its factorization.

825264390951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 825264390951 in words is "eight hundred twenty-five billion, two hundred sixty-four million, three hundred ninety thousand, nine hundred fifty-one".