1252928520 has 128 divisors (see below), whose sum is σ = 4188816000. Its totient is φ = 333123840.

The previous prime is 1252928503. The next prime is 1252928527. The reversal of 1252928520 is 258292521.

1252928520 is a `hidden beast` number, since 125 + 2 + 9 + 2 + 8 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1252928527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407790 + ... + 410850.

It is an arithmetic number, because the mean of its divisors is an integer number (32725125).

Almost surely, 2^1252928520 is an apocalyptic number.

1252928520 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 1252928520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094408000).

1252928520 is an abundant number, since it is smaller than the sum of its proper divisors (2935887480).

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

1252928520 is a wasteful number, since it uses less digits than its factorization.

1252928520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1252928520 is about 35396.7303574779. The cubic root of 1252928520 is about 1078.0579295894.

The spelling of 1252928520 in words is "one billion, two hundred fifty-two million, nine hundred twenty-eight thousand, five hundred twenty".