7953116401 has 8 divisors (see below), whose sum is σ = 8004816360. Its totient is φ = 7901524992.

The previous prime is 7953116389. The next prime is 7953116407. The reversal of 7953116401 is 1046113597.

It is a happy number.

7953116401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98903025 + 7854213376 = 9945^2 + 88624^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-7953116401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7953116407) 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, 122535 + ... + 175843.

It is an arithmetic number, because the mean of its divisors is an integer number (1000602045).

Almost surely, 2^7953116401 is an apocalyptic number.

It is an amenable number.

7953116401 is a deficient number, since it is larger than the sum of its proper divisors (51699959).

7953116401 is a wasteful number, since it uses less digits than its factorization.

7953116401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54275.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 7953116401 is about 89180.2466973488. The cubic root of 7953116401 is about 1996.0853762763.

Adding to 7953116401 its reverse (1046113597), we get a palindrome (8999229998).

The spelling of 7953116401 in words is "seven billion, nine hundred fifty-three million, one hundred sixteen thousand, four hundred one".