527465363564725 has 24 divisors (see below), whose sum is σ = 661830571817640. Its totient is φ = 416973532320000.

The previous prime is 527465363564701. The next prime is 527465363564897.

527465363564725 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 102839252258961 + 424626111305764 = 10140969^2 + 20606458^2 .

It is not a de Polignac number, because 527465363564725 - 2¹⁹ = 527465363040437 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203918286 + ... + 206488735.

It is an arithmetic number, because the mean of its divisors is an integer number (27576273825735).

Almost surely, 2^{527465363564725} is an apocalyptic number.

It is an amenable number.

527465363564725 is a deficient number, since it is larger than the sum of its proper divisors (134365208252915).

527465363564725 is a wasteful number, since it uses less digits than its factorization.

527465363564725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410407641 (or 410407636 counting only the distinct ones).

The product of its digits is 3810240000, while the sum is 70.

The spelling of 527465363564725 in words is "five hundred twenty-seven trillion, four hundred sixty-five billion, three hundred sixty-three million, five hundred sixty-four thousand, seven hundred twenty-five".