53038332 has 72 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 16867200.

The previous prime is 53038331. The next prime is 53038333. The reversal of 53038332 is 23383035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53038331) and next prime (53038333).

It is a super-2 number, since 2×53038332² = 5626129322684448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53038296 and 53038305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53038331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105193 + ... + 105695.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^53038332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53038332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

53038332 is an abundant number, since it is smaller than the sum of its proper divisors (87305508).

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

53038332 is a wasteful number, since it uses less digits than its factorization.

53038332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 53038332 is about 7282.7420660078. The cubic root of 53038332 is about 375.7191107976.

The spelling of 53038332 in words is "fifty-three million, thirty-eight thousand, three hundred thirty-two".