1253584001 has 2 divisors, whose sum is σ = 1253584002. Its totient is φ = 1253584000.

The previous prime is 1253583923. The next prime is 1253584027. The reversal of 1253584001 is 1004853521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796650625 + 456933376 = 28225^2 + 21376^2 .

It is a cyclic number.

It is not a de Polignac number, because 1253584001 - 2²² = 1249389697 is a prime.

It is not a weakly prime, because it can be changed into another prime (1253584201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626792000 + 626792001.

It is an arithmetic number, because the mean of its divisors is an integer number (626792001).

Almost surely, 2^1253584001 is an apocalyptic number.

It is an amenable number.

1253584001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253584001 is an equidigital number, since it uses as much as digits as its factorization.

1253584001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1253584001 is about 35405.9882082113. The cubic root of 1253584001 is about 1078.2458954323.

The spelling of 1253584001 in words is "one billion, two hundred fifty-three million, five hundred eighty-four thousand, one".