253403615263401 has 48 divisors (see below), whose sum is σ = 375399630777600. Its totient is φ = 164628256294656.

The previous prime is 253403615263391. The next prime is 253403615263429. The reversal of 253403615263401 is 104362516304352.

253403615263401 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 0 + 3 + 6 + 1 + 5 + 2 + 634 + 0 + 1 = 666.

253403615263401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253403615263401 - 2³¹ = 253401467779753 is a prime.

It is a super-3 number, since 3×253403615263401³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (253403615263801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374046885 + ... + 1374231293.

It is an arithmetic number, because the mean of its divisors is an integer number (7820825641200).

Almost surely, 2^{253403615263401} is an apocalyptic number.

It is an amenable number.

253403615263401 is a deficient number, since it is larger than the sum of its proper divisors (121996015514199).

253403615263401 is a wasteful number, since it uses less digits than its factorization.

253403615263401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192590 (or 192587 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 253403615263401 in words is "two hundred fifty-three trillion, four hundred three billion, six hundred fifteen million, two hundred sixty-three thousand, four hundred one".