531641376 has 216 divisors, whose sum is σ = 1780863084. Its totient is φ = 149990400.

The previous prime is 531641371. The next prime is 531641381. The reversal of 531641376 is 673146135.

531641376 is a `hidden beast` number, since 5 + 3 + 1 + 641 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (531641371) and next prime (531641381).

It can be written as a sum of positive squares in 2 ways, for example, as 480661776 + 50979600 = 21924^2 + 7140^2 .

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

Its product of digits (45360) is a multiple of the sum of its prime factors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 531641376.

It is not an unprimeable number, because it can be changed into a prime (531641371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1425126 + ... + 1425498.

Almost surely, 2^531641376 is an apocalyptic number.

531641376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531641376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890431542).

531641376 is an abundant number, since it is smaller than the sum of its proper divisors (1249221708).

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

531641376 is a wasteful number, since it uses less digits than its factorization.

531641376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 531641376 is about 23057.3497176063. The cubic root of 531641376 is about 810.1017887628.

The spelling of 531641376 in words is "five hundred thirty-one million, six hundred forty-one thousand, three hundred seventy-six".