52956540 has 288 divisors, whose sum is σ = 204736896. Its totient is φ = 10782720.

The previous prime is 52956529. The next prime is 52956559. The reversal of 52956540 is 4565925.

52956540 is a `hidden beast` number, since 52 + 9 + 565 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 52956495 and 52956504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868110 + ... + 868170.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^52956540 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 52956540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

52956540 is an abundant number, since it is smaller than the sum of its proper divisors (151780356).

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

52956540 is a wasteful number, since it uses less digits than its factorization.

52956540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 52956540 is about 7277.1244320817. The cubic root of 52956540 is about 375.5258755351.

The spelling of 52956540 in words is "fifty-two million, nine hundred fifty-six thousand, five hundred forty".