820271490913 has 16 divisors (see below), whose sum is σ = 940152678784. Its totient is φ = 701067985920.

The previous prime is 820271490847. The next prime is 820271490967. The reversal of 820271490913 is 319094172028.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 820271490913 - 2³³ = 811681556321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820271490413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3426418 + ... + 3657988.

It is an arithmetic number, because the mean of its divisors is an integer number (58759542424).

Almost surely, 2^820271490913 is an apocalyptic number.

It is an amenable number.

820271490913 is a deficient number, since it is larger than the sum of its proper divisors (119881187871).

820271490913 is a wasteful number, since it uses less digits than its factorization.

820271490913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233032.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 820271490913 in words is "eight hundred twenty billion, two hundred seventy-one million, four hundred ninety thousand, nine hundred thirteen".