1252577880 has 192 divisors, whose sum is σ = 4212673920. Its totient is φ = 322560000.

The previous prime is 1252577863. The next prime is 1252577897. The reversal of 1252577880 is 887752521.

It is an interprime number because it is at equal distance from previous prime (1252577863) and next prime (1252577897).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1667505 + ... + 1668255.

It is an arithmetic number, because the mean of its divisors is an integer number (21941010).

Almost surely, 2^1252577880 is an apocalyptic number.

1252577880 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 1252577880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106336960).

1252577880 is an abundant number, since it is smaller than the sum of its proper divisors (2960096040).

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

1252577880 is a wasteful number, since it uses less digits than its factorization.

1252577880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 1252577880 is about 35391.7770110516. Note that the first 3 decimals coincide. The cubic root of 1252577880 is about 1077.9573530881.

The spelling of 1252577880 in words is "one billion, two hundred fifty-two million, five hundred seventy-seven thousand, eight hundred eighty".