501984025 has 9 divisors (see below), whose sum is σ = 622599133. Its totient is φ = 401497600.

The previous prime is 501984011. The next prime is 501984031. The reversal of 501984025 is 520489105.

The square root of 501984025 is 22405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12866569 + 489117456 = 3587^2 + 22116^2 .

It is not a de Polignac number, because 501984025 - 2⁹ = 501983513 is a prime.

It is a super-2 number, since 2×501984025² = 503975922710401250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109785 + ... + 114265.

Almost surely, 2^501984025 is an apocalyptic number.

501984025 is the 22405-th square number.

501984025 is the 11203-rd centered octagonal number.

It is an amenable number.

501984025 is a deficient number, since it is larger than the sum of its proper divisors (120615108).

501984025 is an frugal number, since it uses more digits than its factorization.

501984025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The cubic root of 501984025 is about 794.7489549224.

Multiplying 501984025 by its product of nonzero digits (14400), we get a square (7228569960000 = 2688600²).

The spelling of 501984025 in words is "five hundred one million, nine hundred eighty-four thousand, twenty-five".