1252545840 has 360 divisors, whose sum is σ = 5271568848. Its totient is φ = 264176640.

The previous prime is 1252545829. The next prime is 1252545851. The reversal of 1252545840 is 485452521.

1252545840 is a `hidden beast` number, since 1 + 25 + 2 + 54 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1252545829) and next prime (1252545851).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1252545795 and 1252545804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457275 + ... + 460005.

Almost surely, 2^1252545840 is an apocalyptic number.

1252545840 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 1252545840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635784424).

1252545840 is an abundant number, since it is smaller than the sum of its proper divisors (4019023008).

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

1252545840 is a wasteful number, since it uses less digits than its factorization.

1252545840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 1252545840 is about 35391.3243606396. The cubic root of 1252545840 is about 1077.9481618970.

The spelling of 1252545840 in words is "one billion, two hundred fifty-two million, five hundred forty-five thousand, eight hundred forty".