527249942725 has 48 divisors (see below), whose sum is σ = 734647693824. Its totient is φ = 372055320000.

The previous prime is 527249942707. The next prime is 527249942743.

527249942725 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (527249942707) and next prime (527249942743).

It is not a de Polignac number, because 527249942725 - 2⁵ = 527249942693 is a prime.

It is a super-3 number, since 3×527249942725³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 527249942725.

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 47 ways as a sum of consecutive naturals, for example, 1637934 + ... + 1933216.

It is an arithmetic number, because the mean of its divisors is an integer number (15305160288).

Almost surely, 2^527249942725 is an apocalyptic number.

527249942725 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

527249942725 is a deficient number, since it is larger than the sum of its proper divisors (207397751099).

527249942725 is a wasteful number, since it uses less digits than its factorization.

527249942725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295498 (or 295493 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 58.

The spelling of 527249942725 in words is "five hundred twenty-seven billion, two hundred forty-nine million, nine hundred forty-two thousand, seven hundred twenty-five".