1057213717629 has 16 divisors (see below), whose sum is σ = 1410722327040. Its totient is φ = 704257274160.

The previous prime is 1057213717601. The next prime is 1057213717631. The reversal of 1057213717629 is 9267173127501.

It is not a de Polignac number, because 1057213717629 - 2¹⁶ = 1057213652093 is a prime.

It is a super-2 number, since 2×1057213717629² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057213717639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38838834 + ... + 38866044.

It is an arithmetic number, because the mean of its divisors is an integer number (88170145440).

Almost surely, 2^{1057213717629} is an apocalyptic number.

It is an amenable number.

1057213717629 is a deficient number, since it is larger than the sum of its proper divisors (353508609411).

1057213717629 is a wasteful number, since it uses less digits than its factorization.

1057213717629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36880.

The product of its (nonzero) digits is 1111320, while the sum is 51.

The spelling of 1057213717629 in words is "one trillion, fifty-seven billion, two hundred thirteen million, seven hundred seventeen thousand, six hundred twenty-nine".