1293250560 has 416 divisors, whose sum is σ = 4931899392. Its totient is φ = 283115520.

The previous prime is 1293250531. The next prime is 1293250589. The reversal of 1293250560 is 650523921.

It is an interprime number because it is at equal distance from previous prime (1293250531) and next prime (1293250589).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13332432 + ... + 13332528.

Almost surely, 2^1293250560 is an apocalyptic number.

1293250560 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 1293250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465949696).

1293250560 is an abundant number, since it is smaller than the sum of its proper divisors (3638648832).

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

1293250560 is an equidigital number, since it uses as much as digits as its factorization.

1293250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1293250560 is about 35961.7930587450. The cubic root of 1293250560 is about 1089.5008122993.

The spelling of 1293250560 in words is "one billion, two hundred ninety-three million, two hundred fifty thousand, five hundred sixty".