1252525664 has 48 divisors (see below), whose sum is σ = 2674823760. Its totient is φ = 573903360.

The previous prime is 1252525663. The next prime is 1252525669. The reversal of 1252525664 is 4665252521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252525663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46994 + ... + 68654.

It is an arithmetic number, because the mean of its divisors is an integer number (55725495).

Almost surely, 2^1252525664 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 1252525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337411880).

1252525664 is an abundant number, since it is smaller than the sum of its proper divisors (1422298096).

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

1252525664 is a wasteful number, since it uses less digits than its factorization.

1252525664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21823 (or 21815 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

The square root of 1252525664 is about 35391.0393178838. The cubic root of 1252525664 is about 1077.9423740053.

The spelling of 1252525664 in words is "one billion, two hundred fifty-two million, five hundred twenty-five thousand, six hundred sixty-four".