525414414525 has 192 divisors, whose sum is σ = 1168191897600. Its totient is φ = 201238732800.

The previous prime is 525414414493. The next prime is 525414414589.

525414414525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525414414525 - 2⁵ = 525414414493 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50520276 + ... + 50530674.

It is an arithmetic number, because the mean of its divisors is an integer number (6084332800).

Almost surely, 2^525414414525 is an apocalyptic number.

525414414525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525414414525 is an abundant number, since it is smaller than the sum of its proper divisors (642777483075).

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

525414414525 is a wasteful number, since it uses less digits than its factorization.

525414414525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116 (or 11111 counting only the distinct ones).

The product of its digits is 640000, while the sum is 42.

It can be divided in two parts, 525414 and 414525, that added together give a palindrome (939939).

The spelling of 525414414525 in words is "five hundred twenty-five billion, four hundred fourteen million, four hundred fourteen thousand, five hundred twenty-five".