53735262628356 has 81 divisors (see below), whose sum is σ = 144292860529909. Its totient is φ = 16857887035008.

The previous prime is 53735262628291. The next prime is 53735262628379. The reversal of 53735262628356 is 65382626253735.

The square root of 53735262628356 is 7330434.

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

53735262628356 is a `hidden beast` number, since 5 + 3 + 7 + 3 + 526 + 26 + 2 + 83 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41835412080900 + 11899850547456 = 6468030^2 + 3449616^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53735262628293 and 53735262628302.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 747668335 + ... + 747740201.

Almost surely, 2^{53735262628356} is an apocalyptic number.

53735262628356 is the 7330434-th square number.

It is an amenable number.

53735262628356 is an abundant number, since it is smaller than the sum of its proper divisors (90557597901553).

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

53735262628356 is an frugal number, since it uses more digits than its factorization.

53735262628356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143778 (or 71889 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 63.

The spelling of 53735262628356 in words is "fifty-three trillion, seven hundred thirty-five billion, two hundred sixty-two million, six hundred twenty-eight thousand, three hundred fifty-six".