538507152 has 60 divisors (see below), whose sum is σ = 1513474560. Its totient is φ = 178739904.

The previous prime is 538507141. The next prime is 538507157. The reversal of 538507152 is 251705835.

538507152 is a `hidden beast` number, since 538 + 5 + 0 + 71 + 52 = 666.

It is a super-2 number, since 2×538507152² = 579979905510302208, which contains 22 as substring.

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 (538507157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26593 + ... + 42239.

It is an arithmetic number, because the mean of its divisors is an integer number (25224576).

Almost surely, 2^538507152 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 538507152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756737280).

538507152 is an abundant number, since it is smaller than the sum of its proper divisors (974967408).

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

538507152 is a wasteful number, since it uses less digits than its factorization.

538507152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15900 (or 15891 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 538507152 is about 23205.7568719488. The cubic root of 538507152 is about 813.5741826053.

The spelling of 538507152 in words is "five hundred thirty-eight million, five hundred seven thousand, one hundred fifty-two".