825252351 has 32 divisors (see below), whose sum is σ = 1431502848. Its totient is φ = 410060640.

The previous prime is 825252349. The next prime is 825252353. The reversal of 825252351 is 153252528.

It is an interprime number because it is at equal distance from previous prime (825252349) and next prime (825252353).

It is not a de Polignac number, because 825252351 - 2¹ = 825252349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825252353) 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 31 ways as a sum of consecutive naturals, for example, 72351 + ... + 82976.

It is an arithmetic number, because the mean of its divisors is an integer number (44734464).

Almost surely, 2^825252351 is an apocalyptic number.

825252351 is a deficient number, since it is larger than the sum of its proper divisors (606250497).

825252351 is a wasteful number, since it uses less digits than its factorization.

825252351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155371.

The product of its digits is 24000, while the sum is 33.

The square root of 825252351 is about 28727.2057638748. The cubic root of 825252351 is about 937.9843450696.

The spelling of 825252351 in words is "eight hundred twenty-five million, two hundred fifty-two thousand, three hundred fifty-one".