7871748201 has 24 divisors (see below), whose sum is σ = 11612020680. Its totient is φ = 5137440000.

The previous prime is 7871748179. The next prime is 7871748217. The reversal of 7871748201 is 1028471787.

It can be written as a sum of positive squares in 4 ways, for example, as 180633600 + 7691114601 = 13440^2 + 87699^2 .

It is not a de Polignac number, because 7871748201 - 2⁵ = 7871748169 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7871748251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32251 + ... + 129551.

It is an arithmetic number, because the mean of its divisors is an integer number (483834195).

Almost surely, 2^7871748201 is an apocalyptic number.

It is an amenable number.

7871748201 is a deficient number, since it is larger than the sum of its proper divisors (3740272479).

7871748201 is a wasteful number, since it uses less digits than its factorization.

7871748201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97497 (or 97494 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The square root of 7871748201 is about 88722.8730429758. The cubic root of 7871748201 is about 1989.2547229826.

The spelling of 7871748201 in words is "seven billion, eight hundred seventy-one million, seven hundred forty-eight thousand, two hundred one".