1252933293280 has 96 divisors (see below), whose sum is σ = 3076640612640. Its totient is φ = 481597777920.

The previous prime is 1252933293257. The next prime is 1252933293281. The reversal of 1252933293280 is 823923392521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252933293281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339162 + ... + 1618918.

It is an arithmetic number, because the mean of its divisors is an integer number (32048339715).

Almost surely, 2^{1252933293280} is an apocalyptic number.

1252933293280 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 1252933293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538320306320).

1252933293280 is an abundant number, since it is smaller than the sum of its proper divisors (1823707319360).

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

1252933293280 is a wasteful number, since it uses less digits than its factorization.

1252933293280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280012 (or 1280004 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 1252933293280 in words is "one trillion, two hundred fifty-two billion, nine hundred thirty-three million, two hundred ninety-three thousand, two hundred eighty".