1252315680 has 384 divisors, whose sum is σ = 5081481216. Its totient is φ = 251596800.

The previous prime is 1252315667. The next prime is 1252315709. The reversal of 1252315680 is 865132521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2186 × 2170 × 264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145214 + ... + 1146306.

It is an arithmetic number, because the mean of its divisors is an integer number (13233024).

Almost surely, 2^1252315680 is an apocalyptic number.

1252315680 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 1252315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540740608).

1252315680 is an abundant number, since it is smaller than the sum of its proper divisors (3829165536).

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

1252315680 is a wasteful number, since it uses less digits than its factorization.

1252315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1252315680 is about 35388.0725668975. The cubic root of 1252315680 is about 1077.8821321787.

It can be divided in two parts, 12523 and 15680, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 1252315680 in words is "one billion, two hundred fifty-two million, three hundred fifteen thousand, six hundred eighty".