735625125 has 64 divisors (see below), whose sum is σ = 1367857920. Its totient is φ = 390096000.

The previous prime is 735625103. The next prime is 735625151. The reversal of 735625125 is 521526537.

735625125 is a `hidden beast` number, since 7 + 3 + 5 + 625 + 1 + 25 = 666.

It is not a de Polignac number, because 735625125 - 2⁹ = 735624613 is a prime.

It is a super-2 number, since 2×735625125² = 1082288649062531250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 735625125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711609 + ... + 712641.

It is an arithmetic number, because the mean of its divisors is an integer number (21372780).

Almost surely, 2^735625125 is an apocalyptic number.

735625125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

735625125 is a deficient number, since it is larger than the sum of its proper divisors (632232795).

735625125 is a wasteful number, since it uses less digits than its factorization.

735625125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1252 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 735625125 is about 27122.4100145986. The cubic root of 735625125 is about 902.7181712300.

It can be divided in two parts, 73562 and 5125, that added together give a palindrome (78687).

The spelling of 735625125 in words is "seven hundred thirty-five million, six hundred twenty-five thousand, one hundred twenty-five".