2521629665296 has 45 divisors (see below), whose sum is σ = 5683416053661. Its totient is φ = 1080679372416.

The previous prime is 2521629665279. The next prime is 2521629665341. The reversal of 2521629665296 is 6925669261252.

The square root of 2521629665296 is 1587964.

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., 1683921475600 + 837708189696 = 1297660^2 + 915264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44434636 + ... + 44491348.

Almost surely, 2^{2521629665296} is an apocalyptic number.

2521629665296 is the 1587964-th square number.

It is an amenable number.

2521629665296 is an abundant number, since it is smaller than the sum of its proper divisors (3161786388365).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2521629665296 is an frugal number, since it uses more digits than its factorization.

2521629665296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113448 (or 56722 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 61.

The spelling of 2521629665296 in words is "two trillion, five hundred twenty-one billion, six hundred twenty-nine million, six hundred sixty-five thousand, two hundred ninety-six".