53973010 has 96 divisors (see below), whose sum is σ = 125541360. Its totient is φ = 16547328.

The previous prime is 53973001. The next prime is 53973013. The reversal of 53973010 is 1037935.

53973010 = 342² + 343² + ... + 586².

It can be written as a sum of positive squares in 8 ways, for example, as 38551681 + 15421329 = 6209^2 + 3927^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53973010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53973013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235576 + ... + 235804.

Almost surely, 2^53973010 is an apocalyptic number.

53973010 is an abundant number, since it is smaller than the sum of its proper divisors (71568350).

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

53973010 is a wasteful number, since it uses less digits than its factorization.

53973010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 53973010 is about 7346.6325619293. The cubic root of 53973010 is about 377.9133317534.

The spelling of 53973010 in words is "fifty-three million, nine hundred seventy-three thousand, ten".