2052420121129 has 27 divisors (see below), whose sum is σ = 2412127820637. Its totient is φ = 1741260699864.

The previous prime is 2052420121127. The next prime is 2052420121159. The reversal of 2052420121129 is 9211210242502.

The square root of 2052420121129 is 1432627.

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

It is not a de Polignac number, because 2052420121129 - 2¹ = 2052420121127 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 2052420121129.

It is not an unprimeable number, because it can be changed into a prime (2052420121127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1032923074 + ... + 1032925060.

It is an arithmetic number, because the mean of its divisors is an integer number (89338067431).

Almost surely, 2^{2052420121129} is an apocalyptic number.

2052420121129 is the 1432627-th square number.

2052420121129 is the 716314-th centered octagonal number.

It is an amenable number.

2052420121129 is a deficient number, since it is larger than the sum of its proper divisors (359707699508).

2052420121129 is an frugal number, since it uses more digits than its factorization.

2052420121129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 2052420121129 in words is "two trillion, fifty-two billion, four hundred twenty million, one hundred twenty-one thousand, one hundred twenty-nine".