501307845909025 has 27 divisors (see below), whose sum is σ = 642325338262899. Its totient is φ = 388106613270000.

The previous prime is 501307845909011. The next prime is 501307845909049. The reversal of 501307845909025 is 520909548703105.

The square root of 501307845909025 is 22389905.

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., 180470824527249 + 320837021381776 = 13433943^2 + 17911924^2 .

It is not a de Polignac number, because 501307845909025 - 2²³ = 501307837520417 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3470363050 + ... + 3470507500.

Almost surely, 2^{501307845909025} is an apocalyptic number.

501307845909025 is the 22389905-th square number.

501307845909025 is the 11194953-rd centered octagonal number.

It is an amenable number.

501307845909025 is a deficient number, since it is larger than the sum of its proper divisors (141017492353874).

501307845909025 is an frugal number, since it uses more digits than its factorization.

501307845909025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288974 (or 144487 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 501307845909025 in words is "five hundred one trillion, three hundred seven billion, eight hundred forty-five million, nine hundred nine thousand, twenty-five".