527276125152 has 720 divisors, whose sum is σ = 2010673581840. Its totient is φ = 134315532288.

The previous prime is 527276125147. The next prime is 527276125163. The reversal of 527276125152 is 251521672725.

527276125152 is a `hidden beast` number, since 5 + 2 + 7 + 27 + 612 + 5 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×527276125152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 527276125098 and 527276125107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41017158 + ... + 41030010.

It is an arithmetic number, because the mean of its divisors is an integer number (2792602197).

Almost surely, 2^527276125152 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 527276125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005336790920).

527276125152 is an abundant number, since it is smaller than the sum of its proper divisors (1483397456688).

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

527276125152 is a wasteful number, since it uses less digits than its factorization.

527276125152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925 (or 12901 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

Adding to 527276125152 its reverse (251521672725), we get a palindrome (778797797877).

The spelling of 527276125152 in words is "five hundred twenty-seven billion, two hundred seventy-six million, one hundred twenty-five thousand, one hundred fifty-two".