253470964681 has 27 divisors (see below), whose sum is σ = 286573723317. Its totient is φ = 224019116640.

The previous prime is 253470964619. The next prime is 253470964693. The reversal of 253470964681 is 186469074352.

The square root of 253470964681 is 503459.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110949614281 + 142521350400 = 333091^2 + 377520^2 .

It is not a de Polignac number, because 253470964681 - 2¹³ = 253470956489 is a prime.

It is a super-3 number, since 3×253470964681³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253470964381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 204907195 + ... + 204908431.

It is a 1-persistent number, because it is pandigital, but 2⋅253470964681 = 506941929362 is not.

Almost surely, 2^253470964681 is an apocalyptic number.

253470964681 is the 503459-th square number.

253470964681 is the 251730-th centered octagonal number.

It is an amenable number.

253470964681 is a deficient number, since it is larger than the sum of its proper divisors (33102758636).

253470964681 is an frugal number, since it uses more digits than its factorization.

253470964681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 253470964681 in words is "two hundred fifty-three billion, four hundred seventy million, nine hundred sixty-four thousand, six hundred eighty-one".