527985153 has 12 divisors (see below), whose sum is σ = 783257748. Its totient is φ = 342476640.

The previous prime is 527985131. The next prime is 527985173. The reversal of 527985153 is 351589725.

It can be written as a sum of positive squares in 2 ways, for example, as 200845584 + 327139569 = 14172^2 + 18087^2 .

It is not a de Polignac number, because 527985153 - 2⁹ = 527984641 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 527985099 and 527985108.

It is not an unprimeable number, because it can be changed into a prime (527985103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792438 + ... + 793103.

It is an arithmetic number, because the mean of its divisors is an integer number (65271479).

Almost surely, 2^527985153 is an apocalyptic number.

It is an amenable number.

527985153 is a deficient number, since it is larger than the sum of its proper divisors (255272595).

527985153 is a wasteful number, since it uses less digits than its factorization.

527985153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585584 (or 1585581 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 527985153 is about 22977.9275175112. The cubic root of 527985153 is about 808.2404282592.

The spelling of 527985153 in words is "five hundred twenty-seven million, nine hundred eighty-five thousand, one hundred fifty-three".