825193641602 has 24 divisors (see below), whose sum is σ = 1363061631036. Its totient is φ = 374394636000.

The previous prime is 825193641563. The next prime is 825193641641. The reversal of 825193641602 is 206146391528.

It is an interprime number because it is at equal distance from previous prime (825193641563) and next prime (825193641641).

It can be written as a sum of positive squares in 2 ways, for example, as 819747349201 + 5446292401 = 905399^2 + 73799^2 .

It is a super-3 number, since 3×825193641602³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3020549 + ... + 3282392.

Almost surely, 2^825193641602 is an apocalyptic number.

825193641602 is a deficient number, since it is larger than the sum of its proper divisors (537867989434).

825193641602 is a wasteful number, since it uses less digits than its factorization.

825193641602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303506 (or 6303495 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 825193641602 in words is "eight hundred twenty-five billion, one hundred ninety-three million, six hundred forty-one thousand, six hundred two".