3953129506801 has 16 divisors (see below), whose sum is σ = 4131572755968. Its totient is φ = 3777908198400.

The previous prime is 3953129506793. The next prime is 3953129506877. The reversal of 3953129506801 is 1086059213593.

3953129506801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3953129506801 - 2³ = 3953129506793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3953129506901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5738641 + ... + 6390481.

It is an arithmetic number, because the mean of its divisors is an integer number (258223297248).

Almost surely, 2^{3953129506801} is an apocalyptic number.

3953129506801 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3953129506801 is a deficient number, since it is larger than the sum of its proper divisors (178443249167).

3953129506801 is a wasteful number, since it uses less digits than its factorization.

3953129506801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654312.

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 3953129506801 in words is "three trillion, nine hundred fifty-three billion, one hundred twenty-nine million, five hundred six thousand, eight hundred one".