2759505961 has 9 divisors (see below), whose sum is σ = 2787683479. Its totient is φ = 2731612000.

The previous prime is 2759505953. The next prime is 2759505989. The reversal of 2759505961 is 1695059572.

The square root of 2759505961 is 52531.

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., 2732048361 + 27457600 = 52269^2 + 5240^2 .

It is not a de Polignac number, because 2759505961 - 2³ = 2759505953 is a prime.

It is a super-2 number, since 2×2759505961² = 15229746297589067042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2759505901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6881361 + ... + 6881761.

Almost surely, 2^2759505961 is an apocalyptic number.

2759505961 is the 52531-st square number.

2759505961 is the 26266-th centered octagonal number.

It is an amenable number.

2759505961 is a deficient number, since it is larger than the sum of its proper divisors (28177518).

2759505961 is an frugal number, since it uses more digits than its factorization.

2759505961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 49.

The cubic root of 2759505961 is about 1402.6321164980.

Multiplying 2759505961 by its sum of digits (49), we get a square (135215792089 = 367717²).

The spelling of 2759505961 in words is "two billion, seven hundred fifty-nine million, five hundred five thousand, nine hundred sixty-one".