1253520 has 60 divisors (see below), whose sum is σ = 4212156. Its totient is φ = 334080.

The previous prime is 1253519. The next prime is 1253521. The reversal of 1253520 is 253521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1253519) and next prime (1253521).

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 1115136 = 372^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1253493 and 1253502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253521) 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, 151 + ... + 1590.

2^1253520 is an apocalyptic number.

1253520 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 1253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106078).

1253520 is an abundant number, since it is smaller than the sum of its proper divisors (2958636).

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

1253520 is a wasteful number, since it uses less digits than its factorization.

1253520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1253520 is about 1119.6070739326. The cubic root of 1253520 is about 107.8227545382.

Subtracting from 1253520 its reverse (253521), we obtain a palindrome (999999).

The spelling of 1253520 in words is "one million, two hundred fifty-three thousand, five hundred twenty".