527652256725 has 48 divisors (see below), whose sum is σ = 1057436456640. Its totient is φ = 255831393600.

The previous prime is 527652256723. The next prime is 527652256759.

527652256725 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 52 + 2 + 567 + 25 = 666.

527652256725 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 527652256725 - 2¹ = 527652256723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527652256723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35524714 + ... + 35539563.

It is an arithmetic number, because the mean of its divisors is an integer number (22029926180).

Almost surely, 2^527652256725 is an apocalyptic number.

527652256725 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

527652256725 is an abundant number, since it is smaller than the sum of its proper divisors (529784199915).

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

527652256725 is a wasteful number, since it uses less digits than its factorization.

527652256725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71064307 (or 71064296 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 527652256725 in words is "five hundred twenty-seven billion, six hundred fifty-two million, two hundred fifty-six thousand, seven hundred twenty-five".