525100001525 has 48 divisors (see below), whose sum is σ = 714867638400. Its totient is φ = 379449734400.

The previous prime is 525100001509. The next prime is 525100001533.

525100001525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525100001525 - 2⁴ = 525100001509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 525100001494 and 525100001503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42296219 + ... + 42308631.

It is an arithmetic number, because the mean of its divisors is an integer number (14893075800).

Almost surely, 2^525100001525 is an apocalyptic number.

525100001525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525100001525 is a deficient number, since it is larger than the sum of its proper divisors (189767636875).

525100001525 is a wasteful number, since it uses less digits than its factorization.

525100001525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13406 (or 13401 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

It can be divided in two parts, 52510000 and 1525, that added together give a palindrome (52511525).

The spelling of 525100001525 in words is "five hundred twenty-five billion, one hundred million, one thousand, five hundred twenty-five".