1057535735124 has 24 divisors (see below), whose sum is σ = 2691909144288. Its totient is φ = 320465374240.

The previous prime is 1057535735111. The next prime is 1057535735131. The reversal of 1057535735124 is 4215375357501.

1057535735124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057535735124² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4005817047 + ... + 4005817310.

It is an arithmetic number, because the mean of its divisors is an integer number (112162881012).

Almost surely, 2^{1057535735124} is an apocalyptic number.

It is an amenable number.

1057535735124 is an abundant number, since it is smaller than the sum of its proper divisors (1634373409164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057535735124 is a wasteful number, since it uses less digits than its factorization.

1057535735124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011634375 (or 8011634373 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 1057535735124 in words is "one trillion, fifty-seven billion, five hundred thirty-five million, seven hundred thirty-five thousand, one hundred twenty-four".