527148540 has 192 divisors, whose sum is σ = 1741824000. Its totient is φ = 131984640.

The previous prime is 527148533. The next prime is 527148551. The reversal of 527148540 is 45841725.

527148540 is a `hidden beast` number, since 5 + 2 + 71 + 48 + 540 = 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 = 527148495 and 527148504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1959526 + ... + 1959794.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^527148540 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 527148540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

527148540 is an abundant number, since it is smaller than the sum of its proper divisors (1214675460).

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

527148540 is a wasteful number, since it uses less digits than its factorization.

527148540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 527148540 is about 22959.7155905730. The cubic root of 527148540 is about 807.8133064565.

The spelling of 527148540 in words is "five hundred twenty-seven million, one hundred forty-eight thousand, five hundred forty".