527540742 has 64 divisors (see below), whose sum is σ = 1228608000. Its totient is φ = 167469984.

The previous prime is 527540729. The next prime is 527540743. The reversal of 527540742 is 247045725.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 527540697 and 527540706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527540743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333309 + ... + 334887.

It is an arithmetic number, because the mean of its divisors is an integer number (19197000).

Almost surely, 2^527540742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527540742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614304000).

527540742 is an abundant number, since it is smaller than the sum of its proper divisors (701067258).

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

527540742 is a wasteful number, since it uses less digits than its factorization.

527540742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 527540742 is about 22968.2550926273. The cubic root of 527540742 is about 808.0135962732.

The spelling of 527540742 in words is "five hundred twenty-seven million, five hundred forty thousand, seven hundred forty-two".