1252287936 has 84 divisors (see below), whose sum is σ = 3597185592. Its totient is φ = 416530944.

The previous prime is 1252287931. The next prime is 1252287937. The reversal of 1252287936 is 6397822521.

1252287936 is a `hidden beast` number, since 12 + 522 + 87 + 9 + 36 = 666.

It is a super-2 number, since 2×1252287936² = 3136450149302280192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1252287891 and 1252287900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252287931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299170 + ... + 303326.

It is an arithmetic number, because the mean of its divisors is an integer number (42823638).

Almost surely, 2^1252287936 is an apocalyptic number.

1252287936 is a gapful number since it is divisible by the number (16) 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 1252287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798592796).

1252287936 is an abundant number, since it is smaller than the sum of its proper divisors (2344897656).

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

1252287936 is a wasteful number, since it uses less digits than its factorization.

1252287936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4685 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1252287936 is about 35387.6805682430. The cubic root of 1252287936 is about 1077.8741722627.

The spelling of 1252287936 in words is "one billion, two hundred fifty-two million, two hundred eighty-seven thousand, nine hundred thirty-six".