2053328507136 has 567 divisors, whose sum is σ = 6409666358823. Its totient is φ = 656173716480.

The previous prime is 2053328507129. The next prime is 2053328507147. The reversal of 2053328507136 is 6317058233502.

The square root of 2053328507136 is 1432944.

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

2053328507136 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 3 + 2 + 8 + 507 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2053328507091 and 2053328507100.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 19189985995 + ... + 19189986101.

Almost surely, 2^{2053328507136} is an apocalyptic number.

2053328507136 is the 1432944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053328507136

2053328507136 is an abundant number, since it is smaller than the sum of its proper divisors (4356337851687).

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

2053328507136 is an frugal number, since it uses more digits than its factorization.

2053328507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2053328507136 in words is "two trillion, fifty-three billion, three hundred twenty-eight million, five hundred seven thousand, one hundred thirty-six".