871377011540401 has 8 divisors (see below), whose sum is σ = 871694537172680. Its totient is φ = 871059530170368.

The previous prime is 871377011540369. The next prime is 871377011540407. The reversal of 871377011540401 is 104045110773178.

It can be written as a sum of positive squares in 4 ways, for example, as 24901337535376 + 846475674005025 = 4990124^2 + 29094255^2 .

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 871377011540401 - 2⁵ = 871377011540369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (871377011540407) 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, 28340545 + ... + 50457313.

It is an arithmetic number, because the mean of its divisors is an integer number (108961817146585).

Almost surely, 2^{871377011540401} is an apocalyptic number.

It is an amenable number.

871377011540401 is a deficient number, since it is larger than the sum of its proper divisors (317525632279).

871377011540401 is a wasteful number, since it uses less digits than its factorization.

871377011540401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22131123.

The product of its (nonzero) digits is 658560, while the sum is 49.

The spelling of 871377011540401 in words is "eight hundred seventy-one trillion, three hundred seventy-seven billion, eleven million, five hundred forty thousand, four hundred one".