61314307253 has 16 divisors (see below), whose sum is σ = 63886097520. Its totient is φ = 58774001664.

The previous prime is 61314307217. The next prime is 61314307277. The reversal of 61314307253 is 35270341316.

61314307253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33489732004 + 27824575249 = 183002^2 + 166807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61314307253 is a prime.

It is a super-3 number, since 3×61314307253³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61314307553) 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, 3669125 + ... + 3685797.

It is an arithmetic number, because the mean of its divisors is an integer number (3992881095).

Almost surely, 2^61314307253 is an apocalyptic number.

It is an amenable number.

61314307253 is a deficient number, since it is larger than the sum of its proper divisors (2571790267).

61314307253 is a wasteful number, since it uses less digits than its factorization.

61314307253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17608.

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 61314307253 its reverse (35270341316), we get a palindrome (96584648569).

The spelling of 61314307253 in words is "sixty-one billion, three hundred fourteen million, three hundred seven thousand, two hundred fifty-three".