7863965041 has 9 divisors (see below), whose sum is σ = 7982676363. Its totient is φ = 7746997440.

The previous prime is 7863965033. The next prime is 7863965093. The reversal of 7863965041 is 1405693687.

The square root of 7863965041 is 88679.

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., 3218179441 + 4645785600 = 56729^2 + 68160^2 .

It is not a de Polignac number, because 7863965041 - 2³ = 7863965033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7863969041) 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, 6295585 + ... + 6296833.

Almost surely, 2^7863965041 is an apocalyptic number.

7863965041 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7863965041 is the 88679-th square number.

7863965041 is the 44340-th centered octagonal number.

It is an amenable number.

7863965041 is a deficient number, since it is larger than the sum of its proper divisors (118711322).

7863965041 is an frugal number, since it uses more digits than its factorization.

7863965041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The cubic root of 7863965041 is about 1988.5988841941.

Multiplying 7863965041 by its sum of digits (49), we get a square (385334287009 = 620753²).

The spelling of 7863965041 in words is "seven billion, eight hundred sixty-three million, nine hundred sixty-five thousand, forty-one".