753409125 has 96 divisors (see below), whose sum is σ = 1606176000. Its totient is φ = 332438400.

The previous prime is 753409123. The next prime is 753409127. The reversal of 753409125 is 521904357.

It is an interprime number because it is at equal distance from previous prime (753409123) and next prime (753409127).

It is not a de Polignac number, because 753409125 - 2¹ = 753409123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 753409125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753409123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226726 + ... + 230024.

It is an arithmetic number, because the mean of its divisors is an integer number (16731000).

Almost surely, 2^753409125 is an apocalyptic number.

753409125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

753409125 is an abundant number, since it is smaller than the sum of its proper divisors (852766875).

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

753409125 is a wasteful number, since it uses less digits than its factorization.

753409125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 753409125 is about 27448.2991276327. The cubic root of 753409125 is about 909.9348361340.

The spelling of 753409125 in words is "seven hundred fifty-three million, four hundred nine thousand, one hundred twenty-five".