101352525 has 24 divisors (see below), whose sum is σ = 169066560. Its totient is φ = 53571840.

The previous prime is 101352481. The next prime is 101352527. The reversal of 101352525 is 525253101.

It is a happy number.

It is not a de Polignac number, because 101352525 - 2⁸ = 101352269 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101352495 and 101352504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101352527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496 + ... + 14454.

It is an arithmetic number, because the mean of its divisors is an integer number (7044440).

Almost surely, 2^101352525 is an apocalyptic number.

101352525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101352525 is a deficient number, since it is larger than the sum of its proper divisors (67714035).

101352525 is a wasteful number, since it uses less digits than its factorization.

101352525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12085 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 101352525 is about 10067.3991179450. The cubic root of 101352525 is about 466.2421408542.

The spelling of 101352525 in words is "one hundred one million, three hundred fifty-two thousand, five hundred twenty-five".