825056618101 has 8 divisors (see below), whose sum is σ = 831020684544. Its totient is φ = 819109966080.

The previous prime is 825056618093. The next prime is 825056618123. The reversal of 825056618101 is 101816650528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825056618101 - 2³ = 825056618093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825056612101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4258501 + ... + 4448026.

It is an arithmetic number, because the mean of its divisors is an integer number (103877585568).

Almost surely, 2^825056618101 is an apocalyptic number.

It is an amenable number.

825056618101 is a deficient number, since it is larger than the sum of its proper divisors (5964066443).

825056618101 is a wasteful number, since it uses less digits than its factorization.

825056618101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8707211.

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 825056618101 in words is "eight hundred twenty-five billion, fifty-six million, six hundred eighteen thousand, one hundred one".