253430400200505 has 64 divisors (see below), whose sum is σ = 446653519183872. Its totient is φ = 121680309738240.

The previous prime is 253430400200489. The next prime is 253430400200521. The reversal of 253430400200505 is 505002004034352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253430400200489) and next prime (253430400200521).

It is not a de Polignac number, because 253430400200505 - 2⁴ = 253430400200489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1569118584 + ... + 1569280086.

It is an arithmetic number, because the mean of its divisors is an integer number (6978961237248).

Almost surely, 2^{253430400200505} is an apocalyptic number.

It is an amenable number.

253430400200505 is a deficient number, since it is larger than the sum of its proper divisors (193223118983367).

253430400200505 is a wasteful number, since it uses less digits than its factorization.

253430400200505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253958.

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 253430400200505 its reverse (505002004034352), we get a palindrome (758432404234857).

The spelling of 253430400200505 in words is "two hundred fifty-three trillion, four hundred thirty billion, four hundred million, two hundred thousand, five hundred five".