1253217040 has 20 divisors (see below), whose sum is σ = 2913729804. Its totient is φ = 501286784.

The previous prime is 1253217037. The next prime is 1253217073. The reversal of 1253217040 is 407123521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 217149696 + 1036067344 = 14736^2 + 32188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1253216996 and 1253217014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7832527 + ... + 7832686.

Almost surely, 2^1253217040 is an apocalyptic number.

1253217040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253217040 is an abundant number, since it is smaller than the sum of its proper divisors (1660512764).

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

1253217040 is a wasteful number, since it uses less digits than its factorization.

1253217040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15665226 (or 15665220 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 1253217040 is about 35400.8056405500. The cubic root of 1253217040 is about 1078.1406737090.

The spelling of 1253217040 in words is "one billion, two hundred fifty-three million, two hundred seventeen thousand, forty".