1253952 has 84 divisors (see below), whose sum is σ = 4120896. Its totient is φ = 357120.

The previous prime is 1253951. The next prime is 1253953. The reversal of 1253952 is 2593521.

It is an interprime number because it is at equal distance from previous prime (1253951) and next prime (1253953).

It is a tau number, because it is divible by the number of its divisors (84).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1253951) 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, 3877 + ... + 4187.

2^1253952 is an apocalyptic number.

1253952 is a gapful number since it is divisible by the number (12) 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 1253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060448).

1253952 is an abundant number, since it is smaller than the sum of its proper divisors (2866944).

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

1253952 is a wasteful number, since it uses less digits than its factorization.

1253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 1253952 is about 1119.7999821397. The cubic root of 1253952 is about 107.8351394170.

The spelling of 1253952 in words is "one million, two hundred fifty-three thousand, nine hundred fifty-two".