501752639025 has 297 divisors, whose sum is σ = 1045528889377. Its totient is φ = 238683931200.

The previous prime is 501752638997. The next prime is 501752639029. The reversal of 501752639025 is 520936257105.

The square root of 501752639025 is 708345.

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

501752639025 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 5 + 2 + 639 + 0 + 2 + 5 = 666.

501752639025 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3779667441 + 497972971584 = 61479^2 + 705672^2 .

It is a tau number, because it is divible by the number of its divisors (297).

It is not a de Polignac number, because 501752639025 - 2¹¹ = 501752636977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (501752639029) by changing a digit.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 9467030899 + ... + 9467030951.

Almost surely, 2^501752639025 is an apocalyptic number.

501752639025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

501752639025 is the 708345-th square number.

501752639025 is the 354173-rd centered octagonal number.

It is an amenable number.

501752639025 is an abundant number, since it is smaller than the sum of its proper divisors (543776250352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

501752639025 is an frugal number, since it uses more digits than its factorization.

501752639025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 501752639025 in words is "five hundred one billion, seven hundred fifty-two million, six hundred thirty-nine thousand, twenty-five".