6953605506961 has 27 divisors (see below), whose sum is σ = 7143662902779. Its totient is φ = 6768572029200.

The previous prime is 6953605506949. The next prime is 6953605506979. The reversal of 6953605506961 is 1696055063596.

It is a happy number.

The square root of 6953605506961 is 2636969.

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., 226118319361 + 6727487187600 = 475519^2 + 2593740^2 .

It is not a de Polignac number, because 6953605506961 - 2¹⁷ = 6953605375889 is a prime.

It is a super-3 number, since 3×6953605506961³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

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 6953605506961.

It is not an unprimeable number, because it can be changed into a prime (6953605506941) 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, 22358859996 + ... + 22358860306.

Almost surely, 2^{6953605506961} is an apocalyptic number.

6953605506961 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

6953605506961 is the 2636969-th square number.

6953605506961 is the 1318485-th centered octagonal number.

It is an amenable number.

6953605506961 is a deficient number, since it is larger than the sum of its proper divisors (190057395818).

6953605506961 is an frugal number, since it uses more digits than its factorization.

6953605506961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 39366000, while the sum is 61.

The spelling of 6953605506961 in words is "six trillion, nine hundred fifty-three billion, six hundred five million, five hundred six thousand, nine hundred sixty-one".