53396355612961 has 9 divisors (see below), whose sum is σ = 53606817342361. Its totient is φ = 53186717028352.

The previous prime is 53396355612913. The next prime is 53396355612967. The reversal of 53396355612961 is 16921655369335.

The square root of 53396355612961 is 7307281.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14611360995361 + 38784994617600 = 3822481^2 + 6227760^2 .

It is not a de Polignac number, because 53396355612961 - 2¹⁹ = 53396355088673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53396355612893 and 53396355612902.

It is not an unprimeable number, because it can be changed into a prime (53396355612967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1877957001 + ... + 1877985433.

Almost surely, 2^{53396355612961} is an apocalyptic number.

53396355612961 is the 7307281-st square number.

53396355612961 is the 3653641-st centered octagonal number.

It is an amenable number.

53396355612961 is a deficient number, since it is larger than the sum of its proper divisors (210461729400).

53396355612961 is an frugal number, since it uses more digits than its factorization.

53396355612961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57380 (or 28690 counting only the distinct ones).

The product of its digits is 118098000, while the sum is 64.

The spelling of 53396355612961 in words is "fifty-three trillion, three hundred ninety-six billion, three hundred fifty-five million, six hundred twelve thousand, nine hundred sixty-one".