905272525 has 48 divisors (see below), whose sum is σ = 1274275584. Its totient is φ = 634106880.

The previous prime is 905272517. The next prime is 905272531. The reversal of 905272525 is 525272509.

905272525 is a nontrivial binomial coefficient, being equal to C(42551, 2).

It is not a de Polignac number, because 905272525 - 2³ = 905272517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

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, 360424 + ... + 362926.

It is an arithmetic number, because the mean of its divisors is an integer number (26547408).

Almost surely, 2^905272525 is an apocalyptic number.

905272525 is the 42550-th triangular number.

905272525 is the 14184-th centered nonagonal number.

It is an amenable number.

905272525 is a deficient number, since it is larger than the sum of its proper divisors (369003059).

905272525 is a wasteful number, since it uses less digits than its factorization.

905272525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 905272525 is about 30087.7470908009. The cubic root of 905272525 is about 967.3711099213.

It can be divided in two parts, 905 and 272525, that added together give a triangular number (273430 = T₇₃₉).

The spelling of 905272525 in words is "nine hundred five million, two hundred seventy-two thousand, five hundred twenty-five".