466011304010525 has 72 divisors (see below), whose sum is σ = 725034385157544. Its totient is φ = 294509614694400.

The previous prime is 466011304010521. The next prime is 466011304010573. The reversal of 466011304010525 is 525010403110664.

It can be written as a sum of positive squares in 12 ways, for example, as 154955542156996 + 311055761853529 = 12448114^2 + 17636773^2 .

It is not a de Polignac number, because 466011304010525 - 2² = 466011304010521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466011304010521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12618032 + ... + 33033881.

It is an arithmetic number, because the mean of its divisors is an integer number (10069922016077).

Almost surely, 2^{466011304010525} is an apocalyptic number.

It is an amenable number.

466011304010525 is a deficient number, since it is larger than the sum of its proper divisors (259023081147019).

466011304010525 is a wasteful number, since it uses less digits than its factorization.

466011304010525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45652591 (or 45652579 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 466011304010525 in words is "four hundred sixty-six trillion, eleven billion, three hundred four million, ten thousand, five hundred twenty-five".