2953520653561 has 27 divisors (see below), whose sum is σ = 3213505255503. Its totient is φ = 2713983115200.

The previous prime is 2953520653547. The next prime is 2953520653579. The reversal of 2953520653561 is 1653560253592.

It is a happy number.

The square root of 2953520653561 is 1718581.

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

It can be written as a sum of positive squares in only one way, i.e., 2299453796025 + 654066857536 = 1516395^2 + 808744^2 .

It is not a de Polignac number, because 2953520653561 - 2²⁷ = 2953386435833 is a prime.

It is a super-2 number, since 2×2953520653561² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2953520653499 and 2953520653508.

It is not an unprimeable number, because it can be changed into a prime (2953520653661) 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, 1256281536 + ... + 1256283886.

Almost surely, 2^{2953520653561} is an apocalyptic number.

2953520653561 is the 1718581-st square number.

2953520653561 is the 859291-st centered octagonal number.

It is an amenable number.

2953520653561 is a deficient number, since it is larger than the sum of its proper divisors (259984601942).

2953520653561 is an frugal number, since it uses more digits than its factorization.

2953520653561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 52.

The spelling of 2953520653561 in words is "two trillion, nine hundred fifty-three billion, five hundred twenty million, six hundred fifty-three thousand, five hundred sixty-one".