123503548001 has 2 divisors, whose sum is σ = 123503548002. Its totient is φ = 123503548000.

The previous prime is 123503547953. The next prime is 123503548009. The reversal of 123503548001 is 100845305321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117388464400 + 6115083601 = 342620^2 + 78199^2 .

It is a cyclic number.

It is not a de Polignac number, because 123503548001 - 2¹⁴ = 123503531617 is a prime.

It is a super-2 number, since 2×123503548001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123503548009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61751774000 + 61751774001.

It is an arithmetic number, because the mean of its divisors is an integer number (61751774001).

Almost surely, 2^123503548001 is an apocalyptic number.

It is an amenable number.

123503548001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123503548001 is an equidigital number, since it uses as much as digits as its factorization.

123503548001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 123503548001 in words is "one hundred twenty-three billion, five hundred three million, five hundred forty-eight thousand, one".