101413525 has 12 divisors (see below), whose sum is σ = 125884800. Its totient is φ = 81045680.

The previous prime is 101413511. The next prime is 101413531. The reversal of 101413525 is 525314101.

It is a happy number.

It is not a de Polignac number, because 101413525 - 2²³ = 93024917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101413496 and 101413505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34566 + ... + 37384.

It is an arithmetic number, because the mean of its divisors is an integer number (10490400).

Almost surely, 2^101413525 is an apocalyptic number.

It is an amenable number.

101413525 is a deficient number, since it is larger than the sum of its proper divisors (24471275).

101413525 is a wasteful number, since it uses less digits than its factorization.

101413525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 101413525 is about 10070.4282431285. The cubic root of 101413525 is about 466.3356595462.

Adding to 101413525 its reverse (525314101), we get a palindrome (626727626).

The spelling of 101413525 in words is "one hundred one million, four hundred thirteen thousand, five hundred twenty-five".