1265625504 has 288 divisors, whose sum is σ = 4292870400. Its totient is φ = 348641280.

The previous prime is 1265625467. The next prime is 1265625509. The reversal of 1265625504 is 4055265621.

1265625504 is a `hidden beast` number, since 1 + 26 + 5 + 625 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265625509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3253342 + ... + 3253730.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^1265625504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1265625504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146435200).

1265625504 is an abundant number, since it is smaller than the sum of its proper divisors (3027244896).

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

1265625504 is a wasteful number, since it uses less digits than its factorization.

1265625504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1265625504 is about 35575.6307603955. The cubic root of 1265625504 is about 1081.6873213145.

The spelling of 1265625504 in words is "one billion, two hundred sixty-five million, six hundred twenty-five thousand, five hundred four".