527632152465 has 256 divisors, whose sum is σ = 999919484928. Its totient is φ = 235146240000.

The previous prime is 527632152433. The next prime is 527632152469. The reversal of 527632152465 is 564251236725.

It is not a de Polignac number, because 527632152465 - 2⁵ = 527632152433 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (527632152469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2500626210 + ... + 2500626420.

It is an arithmetic number, because the mean of its divisors is an integer number (3905935488).

Almost surely, 2^527632152465 is an apocalyptic number.

527632152465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

527632152465 is a deficient number, since it is larger than the sum of its proper divisors (472287332463).

527632152465 is a wasteful number, since it uses less digits than its factorization.

527632152465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552.

The product of its digits is 3024000, while the sum is 48.

The spelling of 527632152465 in words is "five hundred twenty-seven billion, six hundred thirty-two million, one hundred fifty-two thousand, four hundred sixty-five".