2053061988201 has 135 divisors (see below), whose sum is σ = 3615606845565. Its totient is φ = 1119343201200.

The previous prime is 2053061988181. The next prime is 2053061988227. The reversal of 2053061988201 is 1028891603502.

The square root of 2053061988201 is 1432851.

It is a perfect power (a square), and thus also a powerful number.

2053061988201 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 619 + 8 + 8 + 20 + 1 = 666.

It is not a de Polignac number, because 2053061988201 - 2¹⁹ = 2053061463913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2053061988251) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28916365996 + ... + 28916366066.

Almost surely, 2^{2053061988201} is an apocalyptic number.

2053061988201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2053061988201 is the 1432851-st square number.

2053061988201 is the 716426-th centered octagonal number.

It is an amenable number.

2053061988201 is a deficient number, since it is larger than the sum of its proper divisors (1562544857364).

2053061988201 is an frugal number, since it uses more digits than its factorization.

2053061988201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2053061988201 in words is "two trillion, fifty-three billion, sixty-one million, nine hundred eighty-eight thousand, two hundred one".