1057557101 has 2 divisors, whose sum is σ = 1057557102. Its totient is φ = 1057557100.

The previous prime is 1057557073. The next prime is 1057557103. The reversal of 1057557101 is 1017557501.

It is a happy number.

1057557101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 646481476 + 411075625 = 25426^2 + 20275^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057557101 - 2¹⁴ = 1057540717 is a prime.

It is a super-2 number, since 2×1057557101² = 2236854043751048402, which contains 22 as substring.

Together with 1057557103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057557103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528778550 + 528778551.

It is an arithmetic number, because the mean of its divisors is an integer number (528778551).

Almost surely, 2^1057557101 is an apocalyptic number.

It is an amenable number.

1057557101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057557101 is an equidigital number, since it uses as much as digits as its factorization.

1057557101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6125, while the sum is 32.

The square root of 1057557101 is about 32520.1030287421. The cubic root of 1057557101 is about 1018.8289459892.

It can be divided in two parts, 10575 and 57101, that added together give a palindrome (67676).

The spelling of 1057557101 in words is "one billion, fifty-seven million, five hundred fifty-seven thousand, one hundred one".