253970406729601 has 9 divisors (see below), whose sum is σ = 262427788194753. Its totient is φ = 245777334870660.

The previous prime is 253970406729547. The next prime is 253970406729619. The reversal of 253970406729601 is 106927604079352.

It is a happy number.

The square root of 253970406729601 is 15936449.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 253970406729601 - 2¹⁷ = 253970406598529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253970406729601.

It is not an unprimeable number, because it can be changed into a prime (253970406729401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 493772880 + ... + 494286958.

Almost surely, 2^{253970406729601} is an apocalyptic number.

253970406729601 is the 15936449-th square number.

253970406729601 is the 7968225-th centered octagonal number.

It is an amenable number.

253970406729601 is a deficient number, since it is larger than the sum of its proper divisors (8457381465152).

253970406729601 is an frugal number, since it uses more digits than its factorization.

253970406729601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028220 (or 514110 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 253970406729601 in words is "two hundred fifty-three trillion, nine hundred seventy billion, four hundred six million, seven hundred twenty-nine thousand, six hundred one".