515424920761 has 9 divisors (see below), whose sum is σ = 519607258191. Its totient is φ = 511275997512.

The previous prime is 515424920729. The next prime is 515424920783. The reversal of 515424920761 is 167029424515.

The square root of 515424920761 is 717931.

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., 404031853225 + 111393067536 = 635635^2 + 333756^2 .

It is not a de Polignac number, because 515424920761 - 2⁵ = 515424920729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (515424920701) 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, 91174411 + ... + 91180063.

It is an arithmetic number, because the mean of its divisors is an integer number (57734139799).

Almost surely, 2^515424920761 is an apocalyptic number.

515424920761 is the 717931-st square number.

515424920761 is the 358966-th centered octagonal number.

It is an amenable number.

515424920761 is a deficient number, since it is larger than the sum of its proper divisors (4182337430).

515424920761 is an frugal number, since it uses more digits than its factorization.

515424920761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 515424920761 in words is "five hundred fifteen billion, four hundred twenty-four million, nine hundred twenty thousand, seven hundred sixty-one".