1057101262727 has 8 divisors (see below), whose sum is σ = 1067060717856. Its totient is φ = 1047185016352.

The previous prime is 1057101262631. The next prime is 1057101262769. The reversal of 1057101262727 is 7272621017501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1057101262727 - 2⁸ = 1057101262471 is a prime.

It is a super-2 number, since 2×1057101262727² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057101264727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10753028 + ... + 10850889.

It is an arithmetic number, because the mean of its divisors is an integer number (133382589732).

Almost surely, 2^{1057101262727} is an apocalyptic number.

1057101262727 is a deficient number, since it is larger than the sum of its proper divisors (9959455129).

1057101262727 is a wasteful number, since it uses less digits than its factorization.

1057101262727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21604377.

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 1057101262727 in words is "one trillion, fifty-seven billion, one hundred one million, two hundred sixty-two thousand, seven hundred twenty-seven".