10201505827831 has 8 divisors (see below), whose sum is σ = 10260693480128. Its totient is φ = 10142349228000.

The previous prime is 10201505827813. The next prime is 10201505827847. The reversal of 10201505827831 is 13872850510201.

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 10201505827831 - 2⁷ = 10201505827703 is a prime.

It is a super-2 number, since 2×10201505827831² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201505827861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7104000 + ... + 8418421.

It is an arithmetic number, because the mean of its divisors is an integer number (1282586685016).

Almost surely, 2^{10201505827831} is an apocalyptic number.

10201505827831 is a deficient number, since it is larger than the sum of its proper divisors (59187652297).

10201505827831 is a wasteful number, since it uses less digits than its factorization.

10201505827831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15526233.

The product of its (nonzero) digits is 134400, while the sum is 43.

The spelling of 10201505827831 in words is "ten trillion, two hundred one billion, five hundred five million, eight hundred twenty-seven thousand, eight hundred thirty-one".