525121121525 has 192 divisors, whose sum is σ = 886884235776. Its totient is φ = 297838080000.

The previous prime is 525121121501. The next prime is 525121121561.

525121121525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525121121525 - 2²⁴ = 525104344309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 525121121491 and 525121121500.

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, 942766547 + ... + 942767103.

It is an arithmetic number, because the mean of its divisors is an integer number (4619188728).

Almost surely, 2^525121121525 is an apocalyptic number.

525121121525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525121121525 is a deficient number, since it is larger than the sum of its proper divisors (361763114251).

525121121525 is a wasteful number, since it uses less digits than its factorization.

525121121525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its digits is 10000, while the sum is 32.

It can be divided in two parts, 525121 and 121525, that added together give a palindrome (646646).

The spelling of 525121121525 in words is "five hundred twenty-five billion, one hundred twenty-one million, one hundred twenty-one thousand, five hundred twenty-five".