525263362525 has 36 divisors (see below), whose sum is σ = 733382599572. Its totient is φ = 372692320000.

The previous prime is 525263362513. The next prime is 525263362529.

525263362525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 191274147801 + 333989214724 = 437349^2 + 577918^2 .

It is not a de Polignac number, because 525263362525 - 2¹¹ = 525263360477 is a prime.

It is a super-2 number, since 2×525263362525² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525263362529) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1993546 + ... + 2241595.

It is an arithmetic number, because the mean of its divisors is an integer number (20371738877).

Almost surely, 2^525263362525 is an apocalyptic number.

525263362525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525263362525 is a deficient number, since it is larger than the sum of its proper divisors (208119237047).

525263362525 is a wasteful number, since it uses less digits than its factorization.

525263362525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235214 (or 4235198 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 46.

It can be divided in two parts, 525263 and 362525, that added together give a palindrome (887788).

The spelling of 525263362525 in words is "five hundred twenty-five billion, two hundred sixty-three million, three hundred sixty-two thousand, five hundred twenty-five".