253065540 has 96 divisors (see below), whose sum is σ = 872121600. Its totient is φ = 53392896.

The previous prime is 253065443. The next prime is 253065559. The reversal of 253065540 is 45560352.

253065540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253065498 and 253065507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17715 + ... + 28634.

It is an arithmetic number, because the mean of its divisors is an integer number (9084600).

Almost surely, 2^253065540 is an apocalyptic number.

253065540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253065540 is an abundant number, since it is smaller than the sum of its proper divisors (619056060).

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

253065540 is a wasteful number, since it uses less digits than its factorization.

253065540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46381 (or 46379 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 253065540 is about 15908.0338194260. The cubic root of 253065540 is about 632.5249637332.

The spelling of 253065540 in words is "two hundred fifty-three million, sixty-five thousand, five hundred forty".