726253036515153 has 48 divisors (see below), whose sum is σ = 1201693704486912. Its totient is φ = 414032601708000.

The previous prime is 726253036515151. The next prime is 726253036515169. The reversal of 726253036515153 is 351515630352627.

726253036515153 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 530 + 3 + 6 + 5 + 1 + 51 + 53 = 666.

It is not a de Polignac number, because 726253036515153 - 2¹ = 726253036515151 is a prime.

It is a super-2 number, since 2×726253036515153² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 726253036515153.

It is not an unprimeable number, because it can be changed into a prime (726253036515151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2266327848 + ... + 2266648278.

It is an arithmetic number, because the mean of its divisors is an integer number (25035285510144).

Almost surely, 2^{726253036515153} is an apocalyptic number.

It is an amenable number.

726253036515153 is a deficient number, since it is larger than the sum of its proper divisors (475440667971759).

726253036515153 is a wasteful number, since it uses less digits than its factorization.

726253036515153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404346 (or 404343 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 54.

The spelling of 726253036515153 in words is "seven hundred twenty-six trillion, two hundred fifty-three billion, thirty-six million, five hundred fifteen thousand, one hundred fifty-three".