2053036196964 has 81 divisors (see below), whose sum is σ = 5303429790841. Its totient is φ = 669653037120.

The previous prime is 2053036196933. The next prime is 2053036196999. The reversal of 2053036196964 is 4696916303502.

The square root of 2053036196964 is 1432842.

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

2053036196964 is a `hidden beast` number, since 2 + 0 + 530 + 3 + 6 + 19 + 6 + 96 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 281368715364 + 1771667481600 = 530442^2 + 1331040^2 .

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 2053036196964.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 404058904 + ... + 404063984.

Almost surely, 2^{2053036196964} is an apocalyptic number.

2053036196964 is the 1432842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053036196964

2053036196964 is an abundant number, since it is smaller than the sum of its proper divisors (3250393593877).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2053036196964 is an frugal number, since it uses more digits than its factorization.

2053036196964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

It can be divided in two parts, 2053036 and 196964, that added together give a square (2250000 = 1500²).

The spelling of 2053036196964 in words is "two trillion, fifty-three billion, thirty-six million, one hundred ninety-six thousand, nine hundred sixty-four".