101513525 has 12 divisors (see below), whose sum is σ = 126715104. Its totient is φ = 80670000.

The previous prime is 101513521. The next prime is 101513527. The reversal of 101513525 is 525315101.

It is a happy number.

It is not a de Polignac number, because 101513525 - 2² = 101513521 is a prime.

It is a super-3 number, since 3×101513525³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101513525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101513521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9671 + ... + 17220.

It is an arithmetic number, because the mean of its divisors is an integer number (10559592).

Almost surely, 2^101513525 is an apocalyptic number.

It is an amenable number.

101513525 is a deficient number, since it is larger than the sum of its proper divisors (25201579).

101513525 is a wasteful number, since it uses less digits than its factorization.

101513525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27052 (or 27047 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 101513525 is about 10075.3920519253. The cubic root of 101513525 is about 466.4888877818.

Adding to 101513525 its reverse (525315101), we get a palindrome (626828626).

The spelling of 101513525 in words is "one hundred one million, five hundred thirteen thousand, five hundred twenty-five".