531378540 has 216 divisors, whose sum is σ = 2045835792. Its totient is φ = 110396160.

The previous prime is 531378539. The next prime is 531378553. The reversal of 531378540 is 45873135.

531378540 is a `hidden beast` number, since 531 + 3 + 7 + 85 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 531378495 and 531378504.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94282 + ... + 99758.

It is an arithmetic number, because the mean of its divisors is an integer number (9471462).

Almost surely, 2^531378540 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 531378540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022917896).

531378540 is an abundant number, since it is smaller than the sum of its proper divisors (1514457252).

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

531378540 is a wasteful number, since it uses less digits than its factorization.

531378540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 531378540 is about 23051.6493986873. The cubic root of 531378540 is about 809.9682657892.

The spelling of 531378540 in words is "five hundred thirty-one million, three hundred seventy-eight thousand, five hundred forty".