901085055025 has 9 divisors (see below), whose sum is σ = 1117351353643. Its totient is φ = 720864247000.

The previous prime is 901085055007. The next prime is 901085055041. The reversal of 901085055025 is 520550580109.

The square root of 901085055025 is 949255.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 324390619809 + 576694435216 = 569553^2 + 759404^2 .

It is not a de Polignac number, because 901085055025 - 2³¹ = 898937571377 is a prime.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 4651350 + ... + 4841200.

Almost surely, 2^901085055025 is an apocalyptic number.

901085055025 is the 949255-th square number.

901085055025 is the 474628-th centered octagonal number.

It is an amenable number.

901085055025 is a deficient number, since it is larger than the sum of its proper divisors (216266298618).

901085055025 is an frugal number, since it uses more digits than its factorization.

901085055025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379712 (or 189856 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 40.

The spelling of 901085055025 in words is "nine hundred one billion, eighty-five million, fifty-five thousand, twenty-five".