2057156505201 has 16 divisors (see below), whose sum is σ = 3136282880000. Its totient is φ = 1174929925968.

The previous prime is 2057156505161. The next prime is 2057156505221. The reversal of 2057156505201 is 1025056517502.

It is not a de Polignac number, because 2057156505201 - 2¹⁴ = 2057156488817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2057156505201.

It is not an unprimeable number, because it can be changed into a prime (2057156505221) 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 15 ways as a sum of consecutive naturals, for example, 24460231 + ... + 24544188.

It is an arithmetic number, because the mean of its divisors is an integer number (196017680000).

Almost surely, 2^{2057156505201} is an apocalyptic number.

2057156505201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2057156505201 is a deficient number, since it is larger than the sum of its proper divisors (1079126374799).

2057156505201 is a wasteful number, since it uses less digits than its factorization.

2057156505201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49006428.

The product of its (nonzero) digits is 105000, while the sum is 39.

The spelling of 2057156505201 in words is "two trillion, fifty-seven billion, one hundred fifty-six million, five hundred five thousand, two hundred one".