1056057053601 has 64 divisors (see below), whose sum is σ = 1682990161920. Its totient is φ = 581452784640.

The previous prime is 1056057053539. The next prime is 1056057053641. The reversal of 1056057053601 is 1063507506501.

It is not a de Polignac number, because 1056057053601 - 2¹³ = 1056057045409 is a prime.

It is a super-3 number, since 3×1056057053601³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1056057053601.

It is not an unprimeable number, because it can be changed into a prime (1056057053641) 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 63 ways as a sum of consecutive naturals, for example, 81712726 + ... + 81725648.

It is an arithmetic number, because the mean of its divisors is an integer number (26296721280).

Almost surely, 2^{1056057053601} is an apocalyptic number.

1056057053601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1056057053601 is a deficient number, since it is larger than the sum of its proper divisors (626933108319).

1056057053601 is a wasteful number, since it uses less digits than its factorization.

1056057053601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18006.

The product of its (nonzero) digits is 94500, while the sum is 39.

The spelling of 1056057053601 in words is "one trillion, fifty-six billion, fifty-seven million, fifty-three thousand, six hundred one".