906503931025 has 81 divisors (see below), whose sum is σ = 1437845005233. Its totient is φ = 564864854400.

The previous prime is 906503931019. The next prime is 906503931031. The reversal of 906503931025 is 520139305609.

The square root of 906503931025 is 952105.

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

It is an interprime number because it is at equal distance from previous prime (906503931019) and next prime (906503931031).

It can be written as a sum of positive squares in 4 ways, for example, as 11837657601 + 894666273424 = 108801^2 + 945868^2 .

It is not a de Polignac number, because 906503931025 - 2¹¹ = 906503928977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 366559189 + ... + 366561661.

Almost surely, 2^906503931025 is an apocalyptic number.

906503931025 is the 952105-th square number.

906503931025 is the 476053-rd centered octagonal number.

It is an amenable number.

906503931025 is a deficient number, since it is larger than the sum of its proper divisors (531341074208).

906503931025 is an equidigital number, since it uses as much as digits as its factorization.

906503931025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The spelling of 906503931025 in words is "nine hundred six billion, five hundred three million, nine hundred thirty-one thousand, twenty-five".