3953123268093 has 12 divisors (see below), whose sum is σ = 6045953233788. Its totient is φ = 2480391070080.

The previous prime is 3953123268001. The next prime is 3953123268119. The reversal of 3953123268093 is 3908623213593.

3953123268093 is a `hidden beast` number, since 3 + 9 + 531 + 2 + 3 + 26 + 80 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2258278601049 + 1694844667044 = 1502757^2 + 1301862^2 .

It is not a de Polignac number, because 3953123268093 - 2¹⁶ = 3953123202557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3953123261093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12918703338 + ... + 12918703643.

It is an arithmetic number, because the mean of its divisors is an integer number (503829436149).

Almost surely, 2^{3953123268093} is an apocalyptic number.

It is an amenable number.

3953123268093 is a deficient number, since it is larger than the sum of its proper divisors (2092829965695).

3953123268093 is a wasteful number, since it uses less digits than its factorization.

3953123268093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25837407004 (or 25837407001 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 3953123268093 in words is "three trillion, nine hundred fifty-three billion, one hundred twenty-three million, two hundred sixty-eight thousand, ninety-three".