8610110621401 has 9 divisors (see below), whose sum is σ = 8715343251999. Its totient is φ = 8506133736336.

The previous prime is 8610110621381. The next prime is 8610110621447. The reversal of 8610110621401 is 1041260110168.

The square root of 8610110621401 is 2934299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8601345168025 + 8765453376 = 2932805^2 + 93624^2 .

It is not a de Polignac number, because 8610110621401 - 2²⁹ = 8609573750489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8610110621471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 243529141 + ... + 243564493.

Almost surely, 2^{8610110621401} is an apocalyptic number.

8610110621401 is the 2934299-th square number.

8610110621401 is the 1467150-th centered octagonal number.

It is an amenable number.

8610110621401 is a deficient number, since it is larger than the sum of its proper divisors (105232630598).

8610110621401 is an frugal number, since it uses more digits than its factorization.

8610110621401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70872 (or 35436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

Adding to 8610110621401 its reverse (1041260110168), we get a palindrome (9651370731569).

The spelling of 8610110621401 in words is "eight trillion, six hundred ten billion, one hundred ten million, six hundred twenty-one thousand, four hundred one".