1253514240 has 264 divisors, whose sum is σ = 4740164208. Its totient is φ = 303759360.

The previous prime is 1253514239. The next prime is 1253514253. The reversal of 1253514240 is 424153521.

1253514240 is a `hidden beast` number, since 125 + 3 + 514 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505644 + ... + 508116.

Almost surely, 2^1253514240 is an apocalyptic number.

1253514240 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 1253514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370082104).

1253514240 is an abundant number, since it is smaller than the sum of its proper divisors (3486649968).

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

1253514240 is a wasteful number, since it uses less digits than its factorization.

1253514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1253514240 is about 35405.0030362942. The cubic root of 1253514240 is about 1078.2258938722.

Adding to 1253514240 its reverse (424153521), we get a palindrome (1677667761).

The spelling of 1253514240 in words is "one billion, two hundred fifty-three million, five hundred fourteen thousand, two hundred forty".