1152828510401 has 8 divisors (see below), whose sum is σ = 1155297721704. Its totient is φ = 1150360548480.

The previous prime is 1152828510377. The next prime is 1152828510469. The reversal of 1152828510401 is 1040158282511.

It can be written as a sum of positive squares in 4 ways, for example, as 1662600625 + 1151165909776 = 40775^2 + 1072924^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1152828510401 - 2²⁶ = 1152761401537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1152828510101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1546895 + ... + 2167611.

It is an arithmetic number, because the mean of its divisors is an integer number (144412215213).

Almost surely, 2^{1152828510401} is an apocalyptic number.

It is an amenable number.

1152828510401 is a deficient number, since it is larger than the sum of its proper divisors (2469211303).

1152828510401 is an equidigital number, since it uses as much as digits as its factorization.

1152828510401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624691.

The product of its (nonzero) digits is 25600, while the sum is 38.

The spelling of 1152828510401 in words is "one trillion, one hundred fifty-two billion, eight hundred twenty-eight million, five hundred ten thousand, four hundred one".