538601952 has 96 divisors (see below), whose sum is σ = 1650281472. Its totient is φ = 150603264.

The previous prime is 538601867. The next prime is 538601977. The reversal of 538601952 is 259106835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 538601952.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23058 + ... + 40110.

It is an arithmetic number, because the mean of its divisors is an integer number (17190432).

Almost surely, 2^538601952 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 538601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825140736).

538601952 is an abundant number, since it is smaller than the sum of its proper divisors (1111679520).

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

538601952 is a wasteful number, since it uses less digits than its factorization.

538601952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120 (or 17112 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 538601952 is about 23207.7993786572. The cubic root of 538601952 is about 813.6219209419.

The spelling of 538601952 in words is "five hundred thirty-eight million, six hundred one thousand, nine hundred fifty-two".