1252636560 has 480 divisors, whose sum is σ = 5150146560. Its totient is φ = 266499072.

The previous prime is 1252636559. The next prime is 1252636577. The reversal of 1252636560 is 656362521.

It is a happy number.

1252636560 is a `hidden beast` number, since 12 + 5 + 2 + 636 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9863217 + ... + 9863343.

It is an arithmetic number, because the mean of its divisors is an integer number (10729472).

Almost surely, 2^1252636560 is an apocalyptic number.

1252636560 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 1252636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575073280).

1252636560 is an abundant number, since it is smaller than the sum of its proper divisors (3897510000).

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

1252636560 is a wasteful number, since it uses less digits than its factorization.

1252636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1252636560 is about 35392.6060074700. The cubic root of 1252636560 is about 1077.9741859868.

The spelling of 1252636560 in words is "one billion, two hundred fifty-two million, six hundred thirty-six thousand, five hundred sixty".