7933117263241 has 27 divisors (see below), whose sum is σ = 8536631913621. Its totient is φ = 7371144971424.

The previous prime is 7933117263223. The next prime is 7933117263287. The reversal of 7933117263241 is 1423627113397.

The square root of 7933117263241 is 2816579.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1681117103241 + 6252000160000 = 1296579^2 + 2500400^2 .

It is not a de Polignac number, because 7933117263241 - 2⁵ = 7933117263209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7933117263341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2836293655 + ... + 2836296451.

Almost surely, 2^{7933117263241} is an apocalyptic number.

7933117263241 is the 2816579-th square number.

7933117263241 is the 1408290-th centered octagonal number.

It is an amenable number.

7933117263241 is a deficient number, since it is larger than the sum of its proper divisors (603514650380).

7933117263241 is an frugal number, since it uses more digits than its factorization.

7933117263241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 2869 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 49.

Multiplying 7933117263241 by its sum of digits (49), we get a square (388722745898809 = 19716053²).

The spelling of 7933117263241 in words is "seven trillion, nine hundred thirty-three billion, one hundred seventeen million, two hundred sixty-three thousand, two hundred forty-one".