53845506 has 128 divisors (see below), whose sum is σ = 148377600. Its totient is φ = 14230080.

The previous prime is 53845483. The next prime is 53845529. The reversal of 53845506 is 60554835.

It is an interprime number because it is at equal distance from previous prime (53845483) and next prime (53845529).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146535 + ... + 146901.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 2^53845506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53845506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74188800).

53845506 is an abundant number, since it is smaller than the sum of its proper divisors (94532094).

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

53845506 is a wasteful number, since it uses less digits than its factorization.

53845506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 53845506 is about 7337.9497136462. The cubic root of 53845506 is about 377.6155072467.

The spelling of 53845506 in words is "fifty-three million, eight hundred forty-five thousand, five hundred six".