409753503125 has 12 divisors (see below), whose sum is σ = 512159102532. Its totient is φ = 327802800000.

The previous prime is 409753503113. The next prime is 409753503149. The reversal of 409753503125 is 521305357904.

It can be written as a sum of positive squares in 6 ways, for example, as 207937824004 + 201815679121 = 456002^2 + 449239^2 .

It is not a de Polignac number, because 409753503125 - 2¹⁶ = 409753437589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65557436 + ... + 65563685.

It is an arithmetic number, because the mean of its divisors is an integer number (42679925211).

Almost surely, 2^409753503125 is an apocalyptic number.

It is an amenable number.

409753503125 is a deficient number, since it is larger than the sum of its proper divisors (102405599407).

409753503125 is an frugal number, since it uses more digits than its factorization.

409753503125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131121146 (or 131121126 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 44.

The spelling of 409753503125 in words is "four hundred nine billion, seven hundred fifty-three million, five hundred three thousand, one hundred twenty-five".