53438073718225 has 81 divisors (see below), whose sum is σ = 77437996016283. Its totient is φ = 36474649596000.

The previous prime is 53438073718193. The next prime is 53438073718229. The reversal of 53438073718225 is 52281737083435.

The square root of 53438073718225 is 7310135.

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., 19237706538561 + 34200367179664 = 4386081^2 + 5848108^2 .

It is not a de Polignac number, because 53438073718225 - 2⁵ = 53438073718193 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53438073718225.

It is not an unprimeable number, because it can be changed into a prime (53438073718229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84687913660 + ... + 84687914290.

Almost surely, 2^{53438073718225} is an apocalyptic number.

53438073718225 is the 7310135-th square number.

53438073718225 is the 3655068-th centered octagonal number.

It is an amenable number.

53438073718225 is a deficient number, since it is larger than the sum of its proper divisors (23999922298058).

53438073718225 is an frugal number, since it uses more digits than its factorization.

53438073718225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 53438073718225 in words is "fifty-three trillion, four hundred thirty-eight billion, seventy-three million, seven hundred eighteen thousand, two hundred twenty-five".