1252559040 has 224 divisors, whose sum is σ = 4286219520. Its totient is φ = 308883456.

The previous prime is 1252559029. The next prime is 1252559053. The reversal of 1252559040 is 409552521.

It is a junction number, because it is equal to n+sod(n) for n = 1252558992 and 1252559010.

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, 783522 + ... + 785118.

Almost surely, 2^1252559040 is an apocalyptic number.

1252559040 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 1252559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143109760).

1252559040 is an abundant number, since it is smaller than the sum of its proper divisors (3033660480).

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

1252559040 is a wasteful number, since it uses less digits than its factorization.

1252559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 1252559040 is about 35391.5108465293. The cubic root of 1252559040 is about 1077.9519485490.

The spelling of 1252559040 in words is "one billion, two hundred fifty-two million, five hundred fifty-nine thousand, forty".