1057204266261 has 48 divisors (see below), whose sum is σ = 1707390662208. Its totient is φ = 577688348160.

The previous prime is 1057204266259. The next prime is 1057204266277. The reversal of 1057204266261 is 1626624027501.

It is not a de Polignac number, because 1057204266261 - 2¹ = 1057204266259 is a prime.

It is a super-2 number, since 2×1057204266261² (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 (1057204266061) 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 47 ways as a sum of consecutive naturals, for example, 2402100 + ... + 2807933.

It is an arithmetic number, because the mean of its divisors is an integer number (35570638796).

Almost surely, 2^{1057204266261} is an apocalyptic number.

1057204266261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1057204266261 is a deficient number, since it is larger than the sum of its proper divisors (650186395947).

1057204266261 is a wasteful number, since it uses less digits than its factorization.

1057204266261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210114 (or 5210103 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1057204266261 in words is "one trillion, fifty-seven billion, two hundred four million, two hundred sixty-six thousand, two hundred sixty-one".