1253466540 has 36 divisors (see below), whose sum is σ = 3802182384. Its totient is φ = 334257696.

The previous prime is 1253466527. The next prime is 1253466551. The reversal of 1253466540 is 456643521.

1253466540 is a `hidden beast` number, since 1 + 2 + 53 + 4 + 66 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1253466495 and 1253466504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3481672 + ... + 3482031.

Almost surely, 2^1253466540 is an apocalyptic number.

1253466540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253466540 is an abundant number, since it is smaller than the sum of its proper divisors (2548715844).

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

1253466540 is a wasteful number, since it uses less digits than its factorization.

1253466540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963718 (or 6963713 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1253466540 is about 35404.3293962758. The cubic root of 1253466540 is about 1078.2122171156.

The spelling of 1253466540 in words is "one billion, two hundred fifty-three million, four hundred sixty-six thousand, five hundred forty".