264248209951 has 16 divisors (see below), whose sum is σ = 288892096416. Its totient is φ = 239708160000.

The previous prime is 264248209949. The next prime is 264248209991. The reversal of 264248209951 is 159902842462.

It is a 14-Lehmer number, since φ(264248209951) divides (264248209951-1)¹⁴.

It is a cyclic number.

It is not a de Polignac number, because 264248209951 - 2¹ = 264248209949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264248209991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32375311 + ... + 32383471.

It is an arithmetic number, because the mean of its divisors is an integer number (18055756026).

Almost surely, 2^264248209951 is an apocalyptic number.

264248209951 is the 229891-st centered decagonal number.

264248209951 is a deficient number, since it is larger than the sum of its proper divisors (24643886465).

264248209951 is a wasteful number, since it uses less digits than its factorization.

264248209951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14154.

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 264248209951 in words is "two hundred sixty-four billion, two hundred forty-eight million, two hundred nine thousand, nine hundred fifty-one".