1153023401125 has 64 divisors (see below), whose sum is σ = 1534316022720. Its totient is φ = 863428608000.

The previous prime is 1153023401107. The next prime is 1153023401137. The reversal of 1153023401125 is 5211043203511.

It can be written as a sum of positive squares in 32 ways, for example, as 785148399396 + 367875001729 = 886086^2 + 606527^2 .

It is not a de Polignac number, because 1153023401125 - 2¹³ = 1153023392933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1153023401093 and 1153023401102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37673829 + ... + 37704421.

It is an arithmetic number, because the mean of its divisors is an integer number (23973687855).

Almost surely, 2^{1153023401125} is an apocalyptic number.

It is an amenable number.

1153023401125 is a deficient number, since it is larger than the sum of its proper divisors (381292621595).

1153023401125 is a wasteful number, since it uses less digits than its factorization.

1153023401125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30955 (or 30945 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 1153023401125 its reverse (5211043203511), we get a palindrome (6364066604636).

The spelling of 1153023401125 in words is "one trillion, one hundred fifty-three billion, twenty-three million, four hundred one thousand, one hundred twenty-five".