1057435311567 has 32 divisors (see below), whose sum is σ = 1558048753152. Its totient is φ = 634522363904.

The previous prime is 1057435311563. The next prime is 1057435311629. The reversal of 1057435311567 is 7651135347501.

It is a cyclic number.

It is not a de Polignac number, because 1057435311567 - 2² = 1057435311563 is a prime.

It is a super-2 number, since 2×1057435311567² (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 (1057435311563) 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 31 ways as a sum of consecutive naturals, for example, 6377863 + ... + 6541559.

It is an arithmetic number, because the mean of its divisors is an integer number (48689023536).

Almost surely, 2^{1057435311567} is an apocalyptic number.

1057435311567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1057435311567 is a deficient number, since it is larger than the sum of its proper divisors (500613441585).

1057435311567 is a wasteful number, since it uses less digits than its factorization.

1057435311567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169247.

The product of its (nonzero) digits is 1323000, while the sum is 48.

The spelling of 1057435311567 in words is "one trillion, fifty-seven billion, four hundred thirty-five million, three hundred eleven thousand, five hundred sixty-seven".