101013525 has 72 divisors (see below), whose sum is σ = 190199880. Its totient is φ = 51179520.

The previous prime is 101013511. The next prime is 101013547. The reversal of 101013525 is 525310101.

It can be written as a sum of positive squares in 12 ways, for example, as 52446564 + 48566961 = 7242^2 + 6969^2 .

It is not a de Polignac number, because 101013525 - 2⁴ = 101013509 is a prime.

It is a super-4 number, since 4×101013525⁴ (a number of 33 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101013498 and 101013507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 737257 + ... + 737393.

It is an arithmetic number, because the mean of its divisors is an integer number (2641665).

Almost surely, 2^101013525 is an apocalyptic number.

101013525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101013525 is a deficient number, since it is larger than the sum of its proper divisors (89186355).

101013525 is a wasteful number, since it uses less digits than its factorization.

101013525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101013525 is about 10050.5484924953. The cubic root of 101013525 is about 465.7217373290.

Adding to 101013525 its reverse (525310101), we get a palindrome (626323626).

It can be divided in two parts, 1010 and 13525, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 101013525 in words is "one hundred one million, thirteen thousand, five hundred twenty-five".