53102132468641 has 27 divisors (see below), whose sum is σ = 54835486341363. Its totient is φ = 51423172503120.

The previous prime is 53102132468633. The next prime is 53102132468653. The reversal of 53102132468641 is 14686423120135.

The square root of 53102132468641 is 7287121.

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

It can be written as a sum of positive squares in only one way, i.e., 1726782593041 + 51375349875600 = 1314071^2 + 7167660^2 .

It is not a de Polignac number, because 53102132468641 - 2³ = 53102132468633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53102132468591 and 53102132468600.

It is not an unprimeable number, because it can be changed into a prime (53102132468141) 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, 29782462636 + ... + 29782464418.

It is an arithmetic number, because the mean of its divisors is an integer number (2030943938569).

Almost surely, 2^{53102132468641} is an apocalyptic number.

53102132468641 is the 7287121-st square number.

53102132468641 is the 3643561-st centered octagonal number.

It is an amenable number.

53102132468641 is a deficient number, since it is larger than the sum of its proper divisors (1733353872722).

53102132468641 is an frugal number, since it uses more digits than its factorization.

53102132468641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

Adding to 53102132468641 its reverse (14686423120135), we get a palindrome (67788555588776).

The spelling of 53102132468641 in words is "fifty-three trillion, one hundred two billion, one hundred thirty-two million, four hundred sixty-eight thousand, six hundred forty-one".