1152253505201 has 16 divisors (see below), whose sum is σ = 1273151965824. Its totient is φ = 1037262614784.

The previous prime is 1152253505177. The next prime is 1152253505209. The reversal of 1152253505201 is 1025053522511.

It is a cyclic number.

It is not a de Polignac number, because 1152253505201 - 2²² = 1152249310897 is a prime.

It is a super-3 number, since 3×1152253505201³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1152253505209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7520111 + ... + 7671803.

It is an arithmetic number, because the mean of its divisors is an integer number (79571997864).

Almost surely, 2^{1152253505201} is an apocalyptic number.

It is an amenable number.

1152253505201 is a deficient number, since it is larger than the sum of its proper divisors (120898460623).

1152253505201 is a wasteful number, since it uses less digits than its factorization.

1152253505201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171160.

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 1152253505201 in words is "one trillion, one hundred fifty-two billion, two hundred fifty-three million, five hundred five thousand, two hundred one".