753412606331125 has 32 divisors (see below), whose sum is σ = 1013464764460512. Its totient is φ = 555883693056000.

The previous prime is 753412606331113. The next prime is 753412606331137. The reversal of 753412606331125 is 521133606214357.

It is an interprime number because it is at equal distance from previous prime (753412606331113) and next prime (753412606331137).

It can be written as a sum of positive squares in 16 ways, for example, as 398116382745316 + 355296223585809 = 19952854^2 + 18849303^2 .

It is not a de Polignac number, because 753412606331125 - 2¹⁹ = 753412605806837 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199183846 + ... + 202931095.

It is an arithmetic number, because the mean of its divisors is an integer number (31670773889391).

Almost surely, 2^{753412606331125} is an apocalyptic number.

It is an amenable number.

753412606331125 is a deficient number, since it is larger than the sum of its proper divisors (260052158129387).

753412606331125 is a wasteful number, since it uses less digits than its factorization.

753412606331125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402116122 (or 402116112 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 753412606331125 in words is "seven hundred fifty-three trillion, four hundred twelve billion, six hundred six million, three hundred thirty-one thousand, one hundred twenty-five".