1252253520 has 400 divisors, whose sum is σ = 5235795840. Its totient is φ = 270978048.

The previous prime is 1252253489. The next prime is 1252253533. The reversal of 1252253520 is 253522521.

1252253520 is a `hidden beast` number, since 125 + 2 + 2 + 535 + 2 + 0 = 666.

1252253520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861114 + ... + 862566.

Almost surely, 2^1252253520 is an apocalyptic number.

1252253520 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 1252253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617897920).

1252253520 is an abundant number, since it is smaller than the sum of its proper divisors (3983542320).

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

1252253520 is a wasteful number, since it uses less digits than its factorization.

1252253520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1252253520 is about 35387.1942939815. The cubic root of 1252253520 is about 1077.8642979475.

The spelling of 1252253520 in words is "one billion, two hundred fifty-two million, two hundred fifty-three thousand, five hundred twenty".