53953380 has 72 divisors (see below), whose sum is σ = 176255352. Its totient is φ = 13280256.

The previous prime is 53953379. The next prime is 53953381. The reversal of 53953380 is 8335935.

53953380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53953379) and next prime (53953381).

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 45239076 = 2952^2 + 6726^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53953381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9189 + ... + 13868.

It is an arithmetic number, because the mean of its divisors is an integer number (2447991).

Almost surely, 2^53953380 is an apocalyptic number.

It is an amenable number.

53953380 is an abundant number, since it is smaller than the sum of its proper divisors (122301972).

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

53953380 is a wasteful number, since it uses less digits than its factorization.

53953380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23085 (or 23080 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 53953380 is about 7345.2964541943. The cubic root of 53953380 is about 377.8675104670.

The spelling of 53953380 in words is "fifty-three million, nine hundred fifty-three thousand, three hundred eighty".