1055106634413 has 64 divisors (see below), whose sum is σ = 1634095232000. Its totient is φ = 599991307776.

The previous prime is 1055106634399. The next prime is 1055106634447. The reversal of 1055106634413 is 3144366015501.

1055106634413 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 1055106634413 - 2⁶ = 1055106634349 is a prime.

It is a super-2 number, since 2×1055106634413² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055106634213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23524353 + ... + 23569161.

It is an arithmetic number, because the mean of its divisors is an integer number (25532738000).

Almost surely, 2^{1055106634413} is an apocalyptic number.

1055106634413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1055106634413 is a deficient number, since it is larger than the sum of its proper divisors (578988597587).

1055106634413 is a wasteful number, since it uses less digits than its factorization.

1055106634413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45626.

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 1055106634413 in words is "one trillion, fifty-five billion, one hundred six million, six hundred thirty-four thousand, four hundred thirteen".