524028071952 has 1080 divisors, whose sum is σ = 1944537416640. Its totient is φ = 131193216000.

The previous prime is 524028071933. The next prime is 524028071971. The reversal of 524028071952 is 259170820425.

524028071952 is a `hidden beast` number, since 52 + 402 + 8 + 0 + 7 + 195 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (524028071933) and next prime (524028071971).

It is a junction number, because it is equal to n+sod(n) for n = 524028071898 and 524028071907.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5087651133 + ... + 5087651235.

It is an arithmetic number, because the mean of its divisors is an integer number (1800497608).

Almost surely, 2^524028071952 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 524028071952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972268708320).

524028071952 is an abundant number, since it is smaller than the sum of its proper divisors (1420509344688).

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

524028071952 is a wasteful number, since it uses less digits than its factorization.

524028071952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 524028071952 in words is "five hundred twenty-four billion, twenty-eight million, seventy-one thousand, nine hundred fifty-two".