1252601280 has 448 divisors, whose sum is σ = 5120640000. Its totient is φ = 282341376.

The previous prime is 1252601279. The next prime is 1252601333. The reversal of 1252601280 is 821062521.

It is a happy number.

1252601280 is a `hidden beast` number, since 1 + 2 + 52 + 601 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8406646 + ... + 8406794.

It is an arithmetic number, because the mean of its divisors is an integer number (11430000).

Almost surely, 2^1252601280 is an apocalyptic number.

1252601280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320000).

1252601280 is an abundant number, since it is smaller than the sum of its proper divisors (3868038720).

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

1252601280 is a wasteful number, since it uses less digits than its factorization.

1252601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1252601280 is about 35392.1075947732. The cubic root of 1252601280 is about 1077.9640656568.

The spelling of 1252601280 in words is "one billion, two hundred fifty-two million, six hundred one thousand, two hundred eighty".